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Finding the Fourth Proportional to 463.98, 696.15 and 247.50

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Solution

The fourth proportional to 463.98, 696.15 and 247.50 is: 371.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.98 : 696.15 = 247.50 : x
  2. Step 2: Convert to fraction form
    463.98/696.15 = 247.50/x
  3. Step 3: Cross multiply
    463.98x = 696.15 × 247.50
  4. Step 4: Simplify right side
    463.98x = 172,297.13
  5. Step 5: Solve for x
    x = 172,297.13/463.98
  6. Step 6: Final answer
    x = 371.35

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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.