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Finding the Fourth Proportional to 228.10, 314.76 and 140.76

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Solution

The fourth proportional to 228.10, 314.76 and 140.76 is: 194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.10 : 314.76 = 140.76 : x
  2. Step 2: Convert to fraction form
    228.10/314.76 = 140.76/x
  3. Step 3: Cross multiply
    228.10x = 314.76 × 140.76
  4. Step 4: Simplify right side
    228.10x = 44,305.62
  5. Step 5: Solve for x
    x = 44,305.62/228.10
  6. Step 6: Final answer
    x = 194.24

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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.