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Finding the Fourth Proportional to 97.38, 145.75 and 84.02

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Solution

The fourth proportional to 97.38, 145.75 and 84.02 is: 125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.38 : 145.75 = 84.02 : x
  2. Step 2: Convert to fraction form
    97.38/145.75 = 84.02/x
  3. Step 3: Cross multiply
    97.38x = 145.75 × 84.02
  4. Step 4: Simplify right side
    97.38x = 12,244.77
  5. Step 5: Solve for x
    x = 12,244.77/97.38
  6. Step 6: Final answer
    x = 125.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.