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Finding the Fourth Proportional to 424.19, 585.39 and 256.12

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Solution

The fourth proportional to 424.19, 585.39 and 256.12 is: 353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.19 : 585.39 = 256.12 : x
  2. Step 2: Convert to fraction form
    424.19/585.39 = 256.12/x
  3. Step 3: Cross multiply
    424.19x = 585.39 × 256.12
  4. Step 4: Simplify right side
    424.19x = 149,930.09
  5. Step 5: Solve for x
    x = 149,930.09/424.19
  6. Step 6: Final answer
    x = 353.45

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Double scale
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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.