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Finding the Fourth Proportional to 21.58, 32.16 and 20.98

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Solution

The fourth proportional to 21.58, 32.16 and 20.98 is: 31.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.58 : 32.16 = 20.98 : x
  2. Step 2: Convert to fraction form
    21.58/32.16 = 20.98/x
  3. Step 3: Cross multiply
    21.58x = 32.16 × 20.98
  4. Step 4: Simplify right side
    21.58x = 674.61
  5. Step 5: Solve for x
    x = 674.61/21.58
  6. Step 6: Final answer
    x = 31.26

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Find fourth proportional to 10.79, 16.08 and 10.49
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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.