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Finding the Fourth Proportional to 59.24, 88.39 and 52.76

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Solution

The fourth proportional to 59.24, 88.39 and 52.76 is: 78.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.24 : 88.39 = 52.76 : x
  2. Step 2: Convert to fraction form
    59.24/88.39 = 52.76/x
  3. Step 3: Cross multiply
    59.24x = 88.39 × 52.76
  4. Step 4: Simplify right side
    59.24x = 4,663.46
  5. Step 5: Solve for x
    x = 4,663.46/59.24
  6. Step 6: Final answer
    x = 78.72

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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.