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Finding the Fourth Proportional to 315.30, 470.80 and 269.58

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Solution

The fourth proportional to 315.30, 470.80 and 269.58 is: 402.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.30 : 470.80 = 269.58 : x
  2. Step 2: Convert to fraction form
    315.30/470.80 = 269.58/x
  3. Step 3: Cross multiply
    315.30x = 470.80 × 269.58
  4. Step 4: Simplify right side
    315.30x = 126,918.26
  5. Step 5: Solve for x
    x = 126,918.26/315.30
  6. Step 6: Final answer
    x = 402.53

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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.