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Finding the Fourth Proportional to 342.35, 513.52 and 147.18

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Solution

The fourth proportional to 342.35, 513.52 and 147.18 is: 220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.35 : 513.52 = 147.18 : x
  2. Step 2: Convert to fraction form
    342.35/513.52 = 147.18/x
  3. Step 3: Cross multiply
    342.35x = 513.52 × 147.18
  4. Step 4: Simplify right side
    342.35x = 75,581.43
  5. Step 5: Solve for x
    x = 75,581.43/342.35
  6. Step 6: Final answer
    x = 220.77

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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.