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Finding the Fourth Proportional to 147.31, 220.50 and 118.30

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Solution

The fourth proportional to 147.31, 220.50 and 118.30 is: 177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.31 : 220.50 = 118.30 : x
  2. Step 2: Convert to fraction form
    147.31/220.50 = 118.30/x
  3. Step 3: Cross multiply
    147.31x = 220.50 × 118.30
  4. Step 4: Simplify right side
    147.31x = 26,085.15
  5. Step 5: Solve for x
    x = 26,085.15/147.31
  6. Step 6: Final answer
    x = 177.08

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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.