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Finding the Fourth Proportional to 314.26, 471.35 and 83.17

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Solution

The fourth proportional to 314.26, 471.35 and 83.17 is: 124.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.26 : 471.35 = 83.17 : x
  2. Step 2: Convert to fraction form
    314.26/471.35 = 83.17/x
  3. Step 3: Cross multiply
    314.26x = 471.35 × 83.17
  4. Step 4: Simplify right side
    314.26x = 39,202.18
  5. Step 5: Solve for x
    x = 39,202.18/314.26
  6. Step 6: Final answer
    x = 124.74

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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.