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Finding the Fourth Proportional to 463.05, 639.15 and 266.69

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Solution

The fourth proportional to 463.05, 639.15 and 266.69 is: 368.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.05 : 639.15 = 266.69 : x
  2. Step 2: Convert to fraction form
    463.05/639.15 = 266.69/x
  3. Step 3: Cross multiply
    463.05x = 639.15 × 266.69
  4. Step 4: Simplify right side
    463.05x = 170,456.51
  5. Step 5: Solve for x
    x = 170,456.51/463.05
  6. Step 6: Final answer
    x = 368.12

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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.