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Finding the Fourth Proportional to 347.68, 519.90 and 304.75

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Solution

The fourth proportional to 347.68, 519.90 and 304.75 is: 455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.68 : 519.90 = 304.75 : x
  2. Step 2: Convert to fraction form
    347.68/519.90 = 304.75/x
  3. Step 3: Cross multiply
    347.68x = 519.90 × 304.75
  4. Step 4: Simplify right side
    347.68x = 158,439.53
  5. Step 5: Solve for x
    x = 158,439.53/347.68
  6. Step 6: Final answer
    x = 455.71

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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.