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Finding the Fourth Proportional to 59.87, 89.40 and 57.78

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Solution

The fourth proportional to 59.87, 89.40 and 57.78 is: 86.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.87 : 89.40 = 57.78 : x
  2. Step 2: Convert to fraction form
    59.87/89.40 = 57.78/x
  3. Step 3: Cross multiply
    59.87x = 89.40 × 57.78
  4. Step 4: Simplify right side
    59.87x = 5,165.75
  5. Step 5: Solve for x
    x = 5,165.75/59.87
  6. Step 6: Final answer
    x = 86.28

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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.