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Finding the Fourth Proportional to 315, 470.34 and 269.37

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Solution

The fourth proportional to 315, 470.34 and 269.37 is: 402.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315 : 470.34 = 269.37 : x
  2. Step 2: Convert to fraction form
    315/470.34 = 269.37/x
  3. Step 3: Cross multiply
    315x = 470.34 × 269.37
  4. Step 4: Simplify right side
    315x = 126,695.49
  5. Step 5: Solve for x
    x = 126,695.49/315
  6. Step 6: Final answer
    x = 402.21

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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.