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Finding the Fourth Proportional to 467.38, 700.15 and 343.75

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Solution

The fourth proportional to 467.38, 700.15 and 343.75 is: 514.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.38 : 700.15 = 343.75 : x
  2. Step 2: Convert to fraction form
    467.38/700.15 = 343.75/x
  3. Step 3: Cross multiply
    467.38x = 700.15 × 343.75
  4. Step 4: Simplify right side
    467.38x = 240,671.34
  5. Step 5: Solve for x
    x = 240,671.34/467.38
  6. Step 6: Final answer
    x = 514.94

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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.