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Finding the Fourth Proportional to 100.58, 139.20 and 96.08

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Solution

The fourth proportional to 100.58, 139.20 and 96.08 is: 132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.58 : 139.20 = 96.08 : x
  2. Step 2: Convert to fraction form
    100.58/139.20 = 96.08/x
  3. Step 3: Cross multiply
    100.58x = 139.20 × 96.08
  4. Step 4: Simplify right side
    100.58x = 13,374.34
  5. Step 5: Solve for x
    x = 13,374.34/100.58
  6. Step 6: Final answer
    x = 132.97

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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.