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Finding the Fourth Proportional to 424.12, 585.19 and 258.28

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Solution

The fourth proportional to 424.12, 585.19 and 258.28 is: 356.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.12 : 585.19 = 258.28 : x
  2. Step 2: Convert to fraction form
    424.12/585.19 = 258.28/x
  3. Step 3: Cross multiply
    424.12x = 585.19 × 258.28
  4. Step 4: Simplify right side
    424.12x = 151,142.87
  5. Step 5: Solve for x
    x = 151,142.87/424.12
  6. Step 6: Final answer
    x = 356.37

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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.