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Finding the Fourth Proportional to 314.31, 471.48 and 97.86

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Solution

The fourth proportional to 314.31, 471.48 and 97.86 is: 146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.31 : 471.48 = 97.86 : x
  2. Step 2: Convert to fraction form
    314.31/471.48 = 97.86/x
  3. Step 3: Cross multiply
    314.31x = 471.48 × 97.86
  4. Step 4: Simplify right side
    314.31x = 46,139.03
  5. Step 5: Solve for x
    x = 46,139.03/314.31
  6. Step 6: Final answer
    x = 146.79

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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.