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Finding the Fourth Proportional to 228.11, 314.61 and 154.40

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Solution

The fourth proportional to 228.11, 314.61 and 154.40 is: 212.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.11 : 314.61 = 154.40 : x
  2. Step 2: Convert to fraction form
    228.11/314.61 = 154.40/x
  3. Step 3: Cross multiply
    228.11x = 314.61 × 154.40
  4. Step 4: Simplify right side
    228.11x = 48,575.78
  5. Step 5: Solve for x
    x = 48,575.78/228.11
  6. Step 6: Final answer
    x = 212.95

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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.