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Finding the Fourth Proportional to 347.52, 517.56 and 323.76

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Solution

The fourth proportional to 347.52, 517.56 and 323.76 is: 482.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.52 : 517.56 = 323.76 : x
  2. Step 2: Convert to fraction form
    347.52/517.56 = 323.76/x
  3. Step 3: Cross multiply
    347.52x = 517.56 × 323.76
  4. Step 4: Simplify right side
    347.52x = 167,565.23
  5. Step 5: Solve for x
    x = 167,565.23/347.52
  6. Step 6: Final answer
    x = 482.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.