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Finding the Fourth Proportional to 314.03, 471.18 and 121.79

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Solution

The fourth proportional to 314.03, 471.18 and 121.79 is: 182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.03 : 471.18 = 121.79 : x
  2. Step 2: Convert to fraction form
    314.03/471.18 = 121.79/x
  3. Step 3: Cross multiply
    314.03x = 471.18 × 121.79
  4. Step 4: Simplify right side
    314.03x = 57,385.01
  5. Step 5: Solve for x
    x = 57,385.01/314.03
  6. Step 6: Final answer
    x = 182.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.