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Finding the Fourth Proportional to 254.86, 383.10 and 159.28

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Solution

The fourth proportional to 254.86, 383.10 and 159.28 is: 239.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.86 : 383.10 = 159.28 : x
  2. Step 2: Convert to fraction form
    254.86/383.10 = 159.28/x
  3. Step 3: Cross multiply
    254.86x = 383.10 × 159.28
  4. Step 4: Simplify right side
    254.86x = 61,020.17
  5. Step 5: Solve for x
    x = 61,020.17/254.86
  6. Step 6: Final answer
    x = 239.43

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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.