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Finding the Fourth Proportional to 457.23, 631.08 and 260.76

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Solution

The fourth proportional to 457.23, 631.08 and 260.76 is: 359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.23 : 631.08 = 260.76 : x
  2. Step 2: Convert to fraction form
    457.23/631.08 = 260.76/x
  3. Step 3: Cross multiply
    457.23x = 631.08 × 260.76
  4. Step 4: Simplify right side
    457.23x = 164,560.42
  5. Step 5: Solve for x
    x = 164,560.42/457.23
  6. Step 6: Final answer
    x = 359.91

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Double scale
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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.