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Finding the Fourth Proportional to 118.49, 176.69 and 102.35

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Solution

The fourth proportional to 118.49, 176.69 and 102.35 is: 152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.49 : 176.69 = 102.35 : x
  2. Step 2: Convert to fraction form
    118.49/176.69 = 102.35/x
  3. Step 3: Cross multiply
    118.49x = 176.69 × 102.35
  4. Step 4: Simplify right side
    118.49x = 18,084.22
  5. Step 5: Solve for x
    x = 18,084.22/118.49
  6. Step 6: Final answer
    x = 152.62

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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.