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Finding the Fourth Proportional to 463.19, 639.01 and 288.23

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Solution

The fourth proportional to 463.19, 639.01 and 288.23 is: 397.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.19 : 639.01 = 288.23 : x
  2. Step 2: Convert to fraction form
    463.19/639.01 = 288.23/x
  3. Step 3: Cross multiply
    463.19x = 639.01 × 288.23
  4. Step 4: Simplify right side
    463.19x = 184,182.73
  5. Step 5: Solve for x
    x = 184,182.73/463.19
  6. Step 6: Final answer
    x = 397.64

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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.