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Finding the Fourth Proportional to 463.28, 695 and 280.40

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Solution

The fourth proportional to 463.28, 695 and 280.40 is: 420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.28 : 695 = 280.40 : x
  2. Step 2: Convert to fraction form
    463.28/695 = 280.40/x
  3. Step 3: Cross multiply
    463.28x = 695 × 280.40
  4. Step 4: Simplify right side
    463.28x = 194,878.00
  5. Step 5: Solve for x
    x = 194,878.00/463.28
  6. Step 6: Final answer
    x = 420.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.