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Finding the Fourth Proportional to 258.19, 356.07 and 199.87

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Solution

The fourth proportional to 258.19, 356.07 and 199.87 is: 275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.19 : 356.07 = 199.87 : x
  2. Step 2: Convert to fraction form
    258.19/356.07 = 199.87/x
  3. Step 3: Cross multiply
    258.19x = 356.07 × 199.87
  4. Step 4: Simplify right side
    258.19x = 71,167.71
  5. Step 5: Solve for x
    x = 71,167.71/258.19
  6. Step 6: Final answer
    x = 275.64

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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.