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Finding the Fourth Proportional to 398.33, 549.57 and 258.56

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Solution

The fourth proportional to 398.33, 549.57 and 258.56 is: 356.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.33 : 549.57 = 258.56 : x
  2. Step 2: Convert to fraction form
    398.33/549.57 = 258.56/x
  3. Step 3: Cross multiply
    398.33x = 549.57 × 258.56
  4. Step 4: Simplify right side
    398.33x = 142,098.19
  5. Step 5: Solve for x
    x = 142,098.19/398.33
  6. Step 6: Final answer
    x = 356.73

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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.