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Finding the Fourth Proportional to 72.32, 99.17 and 65.39

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Solution

The fourth proportional to 72.32, 99.17 and 65.39 is: 89.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.32 : 99.17 = 65.39 : x
  2. Step 2: Convert to fraction form
    72.32/99.17 = 65.39/x
  3. Step 3: Cross multiply
    72.32x = 99.17 × 65.39
  4. Step 4: Simplify right side
    72.32x = 6,484.73
  5. Step 5: Solve for x
    x = 6,484.73/72.32
  6. Step 6: Final answer
    x = 89.67

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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.