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Finding the Fourth Proportional to 463.32, 639.36 and 288.72

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Solution

The fourth proportional to 463.32, 639.36 and 288.72 is: 398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.32 : 639.36 = 288.72 : x
  2. Step 2: Convert to fraction form
    463.32/639.36 = 288.72/x
  3. Step 3: Cross multiply
    463.32x = 639.36 × 288.72
  4. Step 4: Simplify right side
    463.32x = 184,596.02
  5. Step 5: Solve for x
    x = 184,596.02/463.32
  6. Step 6: Final answer
    x = 398.42

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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.