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Finding the Fourth Proportional to 463.14, 639.33 and 288.57

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Solution

The fourth proportional to 463.14, 639.33 and 288.57 is: 398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.14 : 639.33 = 288.57 : x
  2. Step 2: Convert to fraction form
    463.14/639.33 = 288.57/x
  3. Step 3: Cross multiply
    463.14x = 639.33 × 288.57
  4. Step 4: Simplify right side
    463.14x = 184,491.46
  5. Step 5: Solve for x
    x = 184,491.46/463.14
  6. Step 6: Final answer
    x = 398.35

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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.