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Finding the Fourth Proportional to 342.72, 469.62 and 342.18

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Solution

The fourth proportional to 342.72, 469.62 and 342.18 is: 468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.72 : 469.62 = 342.18 : x
  2. Step 2: Convert to fraction form
    342.72/469.62 = 342.18/x
  3. Step 3: Cross multiply
    342.72x = 469.62 × 342.18
  4. Step 4: Simplify right side
    342.72x = 160,694.57
  5. Step 5: Solve for x
    x = 160,694.57/342.72
  6. Step 6: Final answer
    x = 468.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.