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Finding the Fourth Proportional to 296.74, 408.63 and 265.65

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Solution

The fourth proportional to 296.74, 408.63 and 265.65 is: 365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.74 : 408.63 = 265.65 : x
  2. Step 2: Convert to fraction form
    296.74/408.63 = 265.65/x
  3. Step 3: Cross multiply
    296.74x = 408.63 × 265.65
  4. Step 4: Simplify right side
    296.74x = 108,552.56
  5. Step 5: Solve for x
    x = 108,552.56/296.74
  6. Step 6: Final answer
    x = 365.82

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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.