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Finding the Fourth Proportional to 360.99, 497.61 and 266.22

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Solution

The fourth proportional to 360.99, 497.61 and 266.22 is: 366.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.99 : 497.61 = 266.22 : x
  2. Step 2: Convert to fraction form
    360.99/497.61 = 266.22/x
  3. Step 3: Cross multiply
    360.99x = 497.61 × 266.22
  4. Step 4: Simplify right side
    360.99x = 132,473.73
  5. Step 5: Solve for x
    x = 132,473.73/360.99
  6. Step 6: Final answer
    x = 366.97

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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.