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Finding the Fourth Proportional to 424.30, 584.86 and 258.20

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Solution

The fourth proportional to 424.30, 584.86 and 258.20 is: 355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.30 : 584.86 = 258.20 : x
  2. Step 2: Convert to fraction form
    424.30/584.86 = 258.20/x
  3. Step 3: Cross multiply
    424.30x = 584.86 × 258.20
  4. Step 4: Simplify right side
    424.30x = 151,010.85
  5. Step 5: Solve for x
    x = 151,010.85/424.30
  6. Step 6: Final answer
    x = 355.91

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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.