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Finding the Fourth Proportional to 102.97, 154.38 and 90.16

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Solution

The fourth proportional to 102.97, 154.38 and 90.16 is: 135.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.97 : 154.38 = 90.16 : x
  2. Step 2: Convert to fraction form
    102.97/154.38 = 90.16/x
  3. Step 3: Cross multiply
    102.97x = 154.38 × 90.16
  4. Step 4: Simplify right side
    102.97x = 13,918.90
  5. Step 5: Solve for x
    x = 13,918.90/102.97
  6. Step 6: Final answer
    x = 135.17

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Why These Related Problems?

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