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Finding the Fourth Proportional to 367.47, 549.15 and 298.22

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Solution

The fourth proportional to 367.47, 549.15 and 298.22 is: 445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.47 : 549.15 = 298.22 : x
  2. Step 2: Convert to fraction form
    367.47/549.15 = 298.22/x
  3. Step 3: Cross multiply
    367.47x = 549.15 × 298.22
  4. Step 4: Simplify right side
    367.47x = 163,763.65
  5. Step 5: Solve for x
    x = 163,763.65/367.47
  6. Step 6: Final answer
    x = 445.65

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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.