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Finding the Fourth Proportional to 147.02, 220.39 and 55.65

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Solution

The fourth proportional to 147.02, 220.39 and 55.65 is: 83.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.02 : 220.39 = 55.65 : x
  2. Step 2: Convert to fraction form
    147.02/220.39 = 55.65/x
  3. Step 3: Cross multiply
    147.02x = 220.39 × 55.65
  4. Step 4: Simplify right side
    147.02x = 12,264.70
  5. Step 5: Solve for x
    x = 12,264.70/147.02
  6. Step 6: Final answer
    x = 83.42

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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.