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Finding the Fourth Proportional to 367.16, 549.89 and 288.43

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Solution

The fourth proportional to 367.16, 549.89 and 288.43 is: 431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.16 : 549.89 = 288.43 : x
  2. Step 2: Convert to fraction form
    367.16/549.89 = 288.43/x
  3. Step 3: Cross multiply
    367.16x = 549.89 × 288.43
  4. Step 4: Simplify right side
    367.16x = 158,605.73
  5. Step 5: Solve for x
    x = 158,605.73/367.16
  6. Step 6: Final answer
    x = 431.99

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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.