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Finding the Fourth Proportional to 229.03, 342.85 and 147.70

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Solution

The fourth proportional to 229.03, 342.85 and 147.70 is: 221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.03 : 342.85 = 147.70 : x
  2. Step 2: Convert to fraction form
    229.03/342.85 = 147.70/x
  3. Step 3: Cross multiply
    229.03x = 342.85 × 147.70
  4. Step 4: Simplify right side
    229.03x = 50,638.95
  5. Step 5: Solve for x
    x = 50,638.95/229.03
  6. Step 6: Final answer
    x = 221.10

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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.