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Finding the Fourth Proportional to 59.20, 81.20 and 54.40

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Solution

The fourth proportional to 59.20, 81.20 and 54.40 is: 74.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.20 : 81.20 = 54.40 : x
  2. Step 2: Convert to fraction form
    59.20/81.20 = 54.40/x
  3. Step 3: Cross multiply
    59.20x = 81.20 × 54.40
  4. Step 4: Simplify right side
    59.20x = 4,417.28
  5. Step 5: Solve for x
    x = 4,417.28/59.20
  6. Step 6: Final answer
    x = 74.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.