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Finding the Fourth Proportional to 463.25, 639.30 and 288.50

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Solution

The fourth proportional to 463.25, 639.30 and 288.50 is: 398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.25 : 639.30 = 288.50 : x
  2. Step 2: Convert to fraction form
    463.25/639.30 = 288.50/x
  3. Step 3: Cross multiply
    463.25x = 639.30 × 288.50
  4. Step 4: Simplify right side
    463.25x = 184,438.05
  5. Step 5: Solve for x
    x = 184,438.05/463.25
  6. Step 6: Final answer
    x = 398.14

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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.