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Finding the Fourth Proportional to 342.16, 512.87 and 147.11

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Solution

The fourth proportional to 342.16, 512.87 and 147.11 is: 220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.16 : 512.87 = 147.11 : x
  2. Step 2: Convert to fraction form
    342.16/512.87 = 147.11/x
  3. Step 3: Cross multiply
    342.16x = 512.87 × 147.11
  4. Step 4: Simplify right side
    342.16x = 75,448.31
  5. Step 5: Solve for x
    x = 75,448.31/342.16
  6. Step 6: Final answer
    x = 220.51

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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.