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Finding the Fourth Proportional to 367.60, 549.30 and 264.40

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Solution

The fourth proportional to 367.60, 549.30 and 264.40 is: 395.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.60 : 549.30 = 264.40 : x
  2. Step 2: Convert to fraction form
    367.60/549.30 = 264.40/x
  3. Step 3: Cross multiply
    367.60x = 549.30 × 264.40
  4. Step 4: Simplify right side
    367.60x = 145,234.92
  5. Step 5: Solve for x
    x = 145,234.92/367.60
  6. Step 6: Final answer
    x = 395.09

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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.