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Finding the Fourth Proportional to 315.52, 471.26 and 266.92

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Solution

The fourth proportional to 315.52, 471.26 and 266.92 is: 398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.52 : 471.26 = 266.92 : x
  2. Step 2: Convert to fraction form
    315.52/471.26 = 266.92/x
  3. Step 3: Cross multiply
    315.52x = 471.26 × 266.92
  4. Step 4: Simplify right side
    315.52x = 125,788.72
  5. Step 5: Solve for x
    x = 125,788.72/315.52
  6. Step 6: Final answer
    x = 398.67

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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.