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Finding the Fourth Proportional to 100.58, 151.72 and 97.34

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Solution

The fourth proportional to 100.58, 151.72 and 97.34 is: 146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.58 : 151.72 = 97.34 : x
  2. Step 2: Convert to fraction form
    100.58/151.72 = 97.34/x
  3. Step 3: Cross multiply
    100.58x = 151.72 × 97.34
  4. Step 4: Simplify right side
    100.58x = 14,767.94
  5. Step 5: Solve for x
    x = 14,767.94/100.58
  6. Step 6: Final answer
    x = 146.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.