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Finding the Fourth Proportional to 414.42, 572.19 and 265.13

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Solution

The fourth proportional to 414.42, 572.19 and 265.13 is: 366.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.42 : 572.19 = 265.13 : x
  2. Step 2: Convert to fraction form
    414.42/572.19 = 265.13/x
  3. Step 3: Cross multiply
    414.42x = 572.19 × 265.13
  4. Step 4: Simplify right side
    414.42x = 151,701.87
  5. Step 5: Solve for x
    x = 151,701.87/414.42
  6. Step 6: Final answer
    x = 366.06

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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.