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Finding the Fourth Proportional to 463.32, 639.40 and 266.84

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Solution

The fourth proportional to 463.32, 639.40 and 266.84 is: 368.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.32 : 639.40 = 266.84 : x
  2. Step 2: Convert to fraction form
    463.32/639.40 = 266.84/x
  3. Step 3: Cross multiply
    463.32x = 639.40 × 266.84
  4. Step 4: Simplify right side
    463.32x = 170,617.50
  5. Step 5: Solve for x
    x = 170,617.50/463.32
  6. Step 6: Final answer
    x = 368.25

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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.