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Finding the Fourth Proportional to 347.52, 519.07 and 314.53

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Solution

The fourth proportional to 347.52, 519.07 and 314.53 is: 469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.52 : 519.07 = 314.53 : x
  2. Step 2: Convert to fraction form
    347.52/519.07 = 314.53/x
  3. Step 3: Cross multiply
    347.52x = 519.07 × 314.53
  4. Step 4: Simplify right side
    347.52x = 163,258.92
  5. Step 5: Solve for x
    x = 163,258.92/347.52
  6. Step 6: Final answer
    x = 469.78

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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.