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Finding the Fourth Proportional to 424.12, 585.12 and 258.20

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Solution

The fourth proportional to 424.12, 585.12 and 258.20 is: 356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.12 : 585.12 = 258.20 : x
  2. Step 2: Convert to fraction form
    424.12/585.12 = 258.20/x
  3. Step 3: Cross multiply
    424.12x = 585.12 × 258.20
  4. Step 4: Simplify right side
    424.12x = 151,077.98
  5. Step 5: Solve for x
    x = 151,077.98/424.12
  6. Step 6: Final answer
    x = 356.22

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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.