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Finding the Fourth Proportional to 463.32, 639.39 and 266.85

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Solution

The fourth proportional to 463.32, 639.39 and 266.85 is: 368.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.32 : 639.39 = 266.85 : x
  2. Step 2: Convert to fraction form
    463.32/639.39 = 266.85/x
  3. Step 3: Cross multiply
    463.32x = 639.39 × 266.85
  4. Step 4: Simplify right side
    463.32x = 170,621.22
  5. Step 5: Solve for x
    x = 170,621.22/463.32
  6. Step 6: Final answer
    x = 368.26

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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.