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Finding the Fourth Proportional to 398.57, 550.03 and 258.74

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Solution

The fourth proportional to 398.57, 550.03 and 258.74 is: 357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.57 : 550.03 = 258.74 : x
  2. Step 2: Convert to fraction form
    398.57/550.03 = 258.74/x
  3. Step 3: Cross multiply
    398.57x = 550.03 × 258.74
  4. Step 4: Simplify right side
    398.57x = 142,314.76
  5. Step 5: Solve for x
    x = 142,314.76/398.57
  6. Step 6: Final answer
    x = 357.06

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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.