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Finding the Fourth Proportional to 457.07, 630.88 and 260.65

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Solution

The fourth proportional to 457.07, 630.88 and 260.65 is: 359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.07 : 630.88 = 260.65 : x
  2. Step 2: Convert to fraction form
    457.07/630.88 = 260.65/x
  3. Step 3: Cross multiply
    457.07x = 630.88 × 260.65
  4. Step 4: Simplify right side
    457.07x = 164,436.64
  5. Step 5: Solve for x
    x = 164,436.64/457.07
  6. Step 6: Final answer
    x = 359.76

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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.