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Finding the Fourth Proportional to 912.16, 1,367.72 and 363.92

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Solution

The fourth proportional to 912.16, 1,367.72 and 363.92 is: 545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.16 : 1,367.72 = 363.92 : x
  2. Step 2: Convert to fraction form
    912.16/1,367.72 = 363.92/x
  3. Step 3: Cross multiply
    912.16x = 1,367.72 × 363.92
  4. Step 4: Simplify right side
    912.16x = 497,740.66
  5. Step 5: Solve for x
    x = 497,740.66/912.16
  6. Step 6: Final answer
    x = 545.67

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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.