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Finding the Fourth Proportional to 877.27, 1,315.87 and 227.98

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Solution

The fourth proportional to 877.27, 1,315.87 and 227.98 is: 341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.27 : 1,315.87 = 227.98 : x
  2. Step 2: Convert to fraction form
    877.27/1,315.87 = 227.98/x
  3. Step 3: Cross multiply
    877.27x = 1,315.87 × 227.98
  4. Step 4: Simplify right side
    877.27x = 299,992.04
  5. Step 5: Solve for x
    x = 299,992.04/877.27
  6. Step 6: Final answer
    x = 341.96

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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.