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Finding the Fourth Proportional to 457.12, 630.90 and 260.68

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Solution

The fourth proportional to 457.12, 630.90 and 260.68 is: 359.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.12 : 630.90 = 260.68 : x
  2. Step 2: Convert to fraction form
    457.12/630.90 = 260.68/x
  3. Step 3: Cross multiply
    457.12x = 630.90 × 260.68
  4. Step 4: Simplify right side
    457.12x = 164,463.01
  5. Step 5: Solve for x
    x = 164,463.01/457.12
  6. Step 6: Final answer
    x = 359.78

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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.