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Finding the Fourth Proportional to 102.14, 153.05 and 65.49

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Solution

The fourth proportional to 102.14, 153.05 and 65.49 is: 98.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.14 : 153.05 = 65.49 : x
  2. Step 2: Convert to fraction form
    102.14/153.05 = 65.49/x
  3. Step 3: Cross multiply
    102.14x = 153.05 × 65.49
  4. Step 4: Simplify right side
    102.14x = 10,022.92
  5. Step 5: Solve for x
    x = 10,022.92/102.14
  6. Step 6: Final answer
    x = 98.13

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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.