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Finding the Fourth Proportional to 98.43, 148.17 and 75.89

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Solution

The fourth proportional to 98.43, 148.17 and 75.89 is: 114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.43 : 148.17 = 75.89 : x
  2. Step 2: Convert to fraction form
    98.43/148.17 = 75.89/x
  3. Step 3: Cross multiply
    98.43x = 148.17 × 75.89
  4. Step 4: Simplify right side
    98.43x = 11,244.62
  5. Step 5: Solve for x
    x = 11,244.62/98.43
  6. Step 6: Final answer
    x = 114.24

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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.