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Finding the Fourth Proportional to 57.47, 86.20 and 19.47

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Solution

The fourth proportional to 57.47, 86.20 and 19.47 is: 29.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.47 : 86.20 = 19.47 : x
  2. Step 2: Convert to fraction form
    57.47/86.20 = 19.47/x
  3. Step 3: Cross multiply
    57.47x = 86.20 × 19.47
  4. Step 4: Simplify right side
    57.47x = 1,678.31
  5. Step 5: Solve for x
    x = 1,678.31/57.47
  6. Step 6: Final answer
    x = 29.20

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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.