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Finding the Fourth Proportional to 463.87, 695.30 and 281.21

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Solution

The fourth proportional to 463.87, 695.30 and 281.21 is: 421.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.87 : 695.30 = 281.21 : x
  2. Step 2: Convert to fraction form
    463.87/695.30 = 281.21/x
  3. Step 3: Cross multiply
    463.87x = 695.30 × 281.21
  4. Step 4: Simplify right side
    463.87x = 195,525.65
  5. Step 5: Solve for x
    x = 195,525.65/463.87
  6. Step 6: Final answer
    x = 421.51

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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.