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Finding the Fourth Proportional to 424.08, 585.09 and 258.24

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Solution

The fourth proportional to 424.08, 585.09 and 258.24 is: 356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.08 : 585.09 = 258.24 : x
  2. Step 2: Convert to fraction form
    424.08/585.09 = 258.24/x
  3. Step 3: Cross multiply
    424.08x = 585.09 × 258.24
  4. Step 4: Simplify right side
    424.08x = 151,093.64
  5. Step 5: Solve for x
    x = 151,093.64/424.08
  6. Step 6: Final answer
    x = 356.29

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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.