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Finding the Fourth Proportional to 87.32, 120.35 and 72.58

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Solution

The fourth proportional to 87.32, 120.35 and 72.58 is: 100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.32 : 120.35 = 72.58 : x
  2. Step 2: Convert to fraction form
    87.32/120.35 = 72.58/x
  3. Step 3: Cross multiply
    87.32x = 120.35 × 72.58
  4. Step 4: Simplify right side
    87.32x = 8,735.00
  5. Step 5: Solve for x
    x = 8,735.00/87.32
  6. Step 6: Final answer
    x = 100.03

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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.