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Finding the Fourth Proportional to 20, 29.84 and 17.76

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Solution

The fourth proportional to 20, 29.84 and 17.76 is: 26.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20 : 29.84 = 17.76 : x
  2. Step 2: Convert to fraction form
    20/29.84 = 17.76/x
  3. Step 3: Cross multiply
    20x = 29.84 × 17.76
  4. Step 4: Simplify right side
    20x = 529.96
  5. Step 5: Solve for x
    x = 529.96/20
  6. Step 6: Final answer
    x = 26.50

Related Problems

Find fourth proportional to 10, 14.92 and 8.88
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.