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Finding the Fourth Proportional to 102.40, 152.86 and 90.96

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Solution

The fourth proportional to 102.40, 152.86 and 90.96 is: 135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.40 : 152.86 = 90.96 : x
  2. Step 2: Convert to fraction form
    102.40/152.86 = 90.96/x
  3. Step 3: Cross multiply
    102.40x = 152.86 × 90.96
  4. Step 4: Simplify right side
    102.40x = 13,904.15
  5. Step 5: Solve for x
    x = 13,904.15/102.40
  6. Step 6: Final answer
    x = 135.78

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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.