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Finding the Fourth Proportional to 424.23, 585.44 and 258.41

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Solution

The fourth proportional to 424.23, 585.44 and 258.41 is: 356.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.23 : 585.44 = 258.41 : x
  2. Step 2: Convert to fraction form
    424.23/585.44 = 258.41/x
  3. Step 3: Cross multiply
    424.23x = 585.44 × 258.41
  4. Step 4: Simplify right side
    424.23x = 151,284.69
  5. Step 5: Solve for x
    x = 151,284.69/424.23
  6. Step 6: Final answer
    x = 356.61

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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.