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Finding the Fourth Proportional to 102.48, 152.90 and 94.38

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Solution

The fourth proportional to 102.48, 152.90 and 94.38 is: 140.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.48 : 152.90 = 94.38 : x
  2. Step 2: Convert to fraction form
    102.48/152.90 = 94.38/x
  3. Step 3: Cross multiply
    102.48x = 152.90 × 94.38
  4. Step 4: Simplify right side
    102.48x = 14,430.23
  5. Step 5: Solve for x
    x = 14,430.23/102.48
  6. Step 6: Final answer
    x = 140.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.