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Finding the Fourth Proportional to 315.06, 471.78 and 269.70

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Solution

The fourth proportional to 315.06, 471.78 and 269.70 is: 403.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.06 : 471.78 = 269.70 : x
  2. Step 2: Convert to fraction form
    315.06/471.78 = 269.70/x
  3. Step 3: Cross multiply
    315.06x = 471.78 × 269.70
  4. Step 4: Simplify right side
    315.06x = 127,239.07
  5. Step 5: Solve for x
    x = 127,239.07/315.06
  6. Step 6: Final answer
    x = 403.86

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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.