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Finding the Fourth Proportional to 250.74, 344.16 and 228.87

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Solution

The fourth proportional to 250.74, 344.16 and 228.87 is: 314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.74 : 344.16 = 228.87 : x
  2. Step 2: Convert to fraction form
    250.74/344.16 = 228.87/x
  3. Step 3: Cross multiply
    250.74x = 344.16 × 228.87
  4. Step 4: Simplify right side
    250.74x = 78,767.90
  5. Step 5: Solve for x
    x = 78,767.90/250.74
  6. Step 6: Final answer
    x = 314.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.