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Finding the Fourth Proportional to 342.24, 512.82 and 318.48

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Solution

The fourth proportional to 342.24, 512.82 and 318.48 is: 477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.24 : 512.82 = 318.48 : x
  2. Step 2: Convert to fraction form
    342.24/512.82 = 318.48/x
  3. Step 3: Cross multiply
    342.24x = 512.82 × 318.48
  4. Step 4: Simplify right side
    342.24x = 163,322.91
  5. Step 5: Solve for x
    x = 163,322.91/342.24
  6. Step 6: Final answer
    x = 477.22

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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.