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Finding the Fourth Proportional to 367.39, 549.05 and 298.99

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Solution

The fourth proportional to 367.39, 549.05 and 298.99 is: 446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.39 : 549.05 = 298.99 : x
  2. Step 2: Convert to fraction form
    367.39/549.05 = 298.99/x
  3. Step 3: Cross multiply
    367.39x = 549.05 × 298.99
  4. Step 4: Simplify right side
    367.39x = 164,159.65
  5. Step 5: Solve for x
    x = 164,159.65/367.39
  6. Step 6: Final answer
    x = 446.83

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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.