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Finding the Fourth Proportional to 360.66, 497.79 and 267.69

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Solution

The fourth proportional to 360.66, 497.79 and 267.69 is: 369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.66 : 497.79 = 267.69 : x
  2. Step 2: Convert to fraction form
    360.66/497.79 = 267.69/x
  3. Step 3: Cross multiply
    360.66x = 497.79 × 267.69
  4. Step 4: Simplify right side
    360.66x = 133,253.41
  5. Step 5: Solve for x
    x = 133,253.41/360.66
  6. Step 6: Final answer
    x = 369.47

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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.