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Finding the Fourth Proportional to 463.65, 695.11 and 280.99

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Solution

The fourth proportional to 463.65, 695.11 and 280.99 is: 421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.65 : 695.11 = 280.99 : x
  2. Step 2: Convert to fraction form
    463.65/695.11 = 280.99/x
  3. Step 3: Cross multiply
    463.65x = 695.11 × 280.99
  4. Step 4: Simplify right side
    463.65x = 195,318.96
  5. Step 5: Solve for x
    x = 195,318.96/463.65
  6. Step 6: Final answer
    x = 421.26

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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.