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Finding the Fourth Proportional to 367.86, 549.26 and 316.56

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Solution

The fourth proportional to 367.86, 549.26 and 316.56 is: 472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.86 : 549.26 = 316.56 : x
  2. Step 2: Convert to fraction form
    367.86/549.26 = 316.56/x
  3. Step 3: Cross multiply
    367.86x = 549.26 × 316.56
  4. Step 4: Simplify right side
    367.86x = 173,872.16
  5. Step 5: Solve for x
    x = 173,872.16/367.86
  6. Step 6: Final answer
    x = 472.66

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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.