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Finding the Fourth Proportional to 258.77, 387.90 and 166.30

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Solution

The fourth proportional to 258.77, 387.90 and 166.30 is: 249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.77 : 387.90 = 166.30 : x
  2. Step 2: Convert to fraction form
    258.77/387.90 = 166.30/x
  3. Step 3: Cross multiply
    258.77x = 387.90 × 166.30
  4. Step 4: Simplify right side
    258.77x = 64,506.80
  5. Step 5: Solve for x
    x = 64,506.80/258.77
  6. Step 6: Final answer
    x = 249.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.