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Finding the Fourth Proportional to 424.23, 585.42 and 247.21

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Solution

The fourth proportional to 424.23, 585.42 and 247.21 is: 341.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.23 : 585.42 = 247.21 : x
  2. Step 2: Convert to fraction form
    424.23/585.42 = 247.21/x
  3. Step 3: Cross multiply
    424.23x = 585.42 × 247.21
  4. Step 4: Simplify right side
    424.23x = 144,721.68
  5. Step 5: Solve for x
    x = 144,721.68/424.23
  6. Step 6: Final answer
    x = 341.14

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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.