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Finding the Fourth Proportional to 57.47, 79.20 and 55.40

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Solution

The fourth proportional to 57.47, 79.20 and 55.40 is: 76.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.47 : 79.20 = 55.40 : x
  2. Step 2: Convert to fraction form
    57.47/79.20 = 55.40/x
  3. Step 3: Cross multiply
    57.47x = 79.20 × 55.40
  4. Step 4: Simplify right side
    57.47x = 4,387.28
  5. Step 5: Solve for x
    x = 4,387.28/57.47
  6. Step 6: Final answer
    x = 76.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.