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Finding the Fourth Proportional to 228.31, 314.94 and 140.92

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Solution

The fourth proportional to 228.31, 314.94 and 140.92 is: 194.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.31 : 314.94 = 140.92 : x
  2. Step 2: Convert to fraction form
    228.31/314.94 = 140.92/x
  3. Step 3: Cross multiply
    228.31x = 314.94 × 140.92
  4. Step 4: Simplify right side
    228.31x = 44,381.34
  5. Step 5: Solve for x
    x = 44,381.34/228.31
  6. Step 6: Final answer
    x = 194.39

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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.