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Finding the Fourth Proportional to 463.89, 640.00 and 298.20

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Solution

The fourth proportional to 463.89, 640.00 and 298.20 is: 411.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.89 : 640.00 = 298.20 : x
  2. Step 2: Convert to fraction form
    463.89/640.00 = 298.20/x
  3. Step 3: Cross multiply
    463.89x = 640.00 × 298.20
  4. Step 4: Simplify right side
    463.89x = 190,847.17
  5. Step 5: Solve for x
    x = 190,847.17/463.89
  6. Step 6: Final answer
    x = 411.40

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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.