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Finding the Fourth Proportional to 315.80, 471.35 and 269.22

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Solution

The fourth proportional to 315.80, 471.35 and 269.22 is: 401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.80 : 471.35 = 269.22 : x
  2. Step 2: Convert to fraction form
    315.80/471.35 = 269.22/x
  3. Step 3: Cross multiply
    315.80x = 471.35 × 269.22
  4. Step 4: Simplify right side
    315.80x = 126,895.50
  5. Step 5: Solve for x
    x = 126,895.50/315.80
  6. Step 6: Final answer
    x = 401.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.