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Finding the Fourth Proportional to 56.50, 84.74 and 19.92

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Solution

The fourth proportional to 56.50, 84.74 and 19.92 is: 29.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.50 : 84.74 = 19.92 : x
  2. Step 2: Convert to fraction form
    56.50/84.74 = 19.92/x
  3. Step 3: Cross multiply
    56.50x = 84.74 × 19.92
  4. Step 4: Simplify right side
    56.50x = 1,688.02
  5. Step 5: Solve for x
    x = 1,688.02/56.50
  6. Step 6: Final answer
    x = 29.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.