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Finding the Fourth Proportional to 315.27, 473.24 and 266.79

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Solution

The fourth proportional to 315.27, 473.24 and 266.79 is: 400.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.27 : 473.24 = 266.79 : x
  2. Step 2: Convert to fraction form
    315.27/473.24 = 266.79/x
  3. Step 3: Cross multiply
    315.27x = 473.24 × 266.79
  4. Step 4: Simplify right side
    315.27x = 126,258.14
  5. Step 5: Solve for x
    x = 126,258.14/315.27
  6. Step 6: Final answer
    x = 400.48

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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.