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Finding the Fourth Proportional to 314.30, 471.31 and 97.83

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Solution

The fourth proportional to 314.30, 471.31 and 97.83 is: 146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.30 : 471.31 = 97.83 : x
  2. Step 2: Convert to fraction form
    314.30/471.31 = 97.83/x
  3. Step 3: Cross multiply
    314.30x = 471.31 × 97.83
  4. Step 4: Simplify right side
    314.30x = 46,108.01
  5. Step 5: Solve for x
    x = 46,108.01/314.30
  6. Step 6: Final answer
    x = 146.70

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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.