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Finding the Fourth Proportional to 147.39, 220.03 and 116.65

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Solution

The fourth proportional to 147.39, 220.03 and 116.65 is: 174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.39 : 220.03 = 116.65 : x
  2. Step 2: Convert to fraction form
    147.39/220.03 = 116.65/x
  3. Step 3: Cross multiply
    147.39x = 220.03 × 116.65
  4. Step 4: Simplify right side
    147.39x = 25,666.24
  5. Step 5: Solve for x
    x = 25,666.24/147.39
  6. Step 6: Final answer
    x = 174.14

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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.