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Finding the Fourth Proportional to 102.38, 153.52 and 59.00

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Solution

The fourth proportional to 102.38, 153.52 and 59.00 is: 88.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.38 : 153.52 = 59.00 : x
  2. Step 2: Convert to fraction form
    102.38/153.52 = 59.00/x
  3. Step 3: Cross multiply
    102.38x = 153.52 × 59.00
  4. Step 4: Simplify right side
    102.38x = 9,056.76
  5. Step 5: Solve for x
    x = 9,056.76/102.38
  6. Step 6: Final answer
    x = 88.47

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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.