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Finding the Fourth Proportional to 463.98, 640.30 and 267.50

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Solution

The fourth proportional to 463.98, 640.30 and 267.50 is: 369.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.98 : 640.30 = 267.50 : x
  2. Step 2: Convert to fraction form
    463.98/640.30 = 267.50/x
  3. Step 3: Cross multiply
    463.98x = 640.30 × 267.50
  4. Step 4: Simplify right side
    463.98x = 171,280.25
  5. Step 5: Solve for x
    x = 171,280.25/463.98
  6. Step 6: Final answer
    x = 369.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.