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Finding the Fourth Proportional to 269.12, 402.64 and 147.48

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Solution

The fourth proportional to 269.12, 402.64 and 147.48 is: 220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.12 : 402.64 = 147.48 : x
  2. Step 2: Convert to fraction form
    269.12/402.64 = 147.48/x
  3. Step 3: Cross multiply
    269.12x = 402.64 × 147.48
  4. Step 4: Simplify right side
    269.12x = 59,381.35
  5. Step 5: Solve for x
    x = 59,381.35/269.12
  6. Step 6: Final answer
    x = 220.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.