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Finding the Fourth Proportional to 244.30, 337.05 and 165.70

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Solution

The fourth proportional to 244.30, 337.05 and 165.70 is: 228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.30 : 337.05 = 165.70 : x
  2. Step 2: Convert to fraction form
    244.30/337.05 = 165.70/x
  3. Step 3: Cross multiply
    244.30x = 337.05 × 165.70
  4. Step 4: Simplify right side
    244.30x = 55,849.19
  5. Step 5: Solve for x
    x = 55,849.19/244.30
  6. Step 6: Final answer
    x = 228.61

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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.