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Finding the Fourth Proportional to 342.30, 513.53 and 147.32

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Solution

The fourth proportional to 342.30, 513.53 and 147.32 is: 221.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.30 : 513.53 = 147.32 : x
  2. Step 2: Convert to fraction form
    342.30/513.53 = 147.32/x
  3. Step 3: Cross multiply
    342.30x = 513.53 × 147.32
  4. Step 4: Simplify right side
    342.30x = 75,650.67
  5. Step 5: Solve for x
    x = 75,650.67/342.30
  6. Step 6: Final answer
    x = 221.01

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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.