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Finding the Fourth Proportional to 307.92, 459.18 and 271.52

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Solution

The fourth proportional to 307.92, 459.18 and 271.52 is: 404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.92 : 459.18 = 271.52 : x
  2. Step 2: Convert to fraction form
    307.92/459.18 = 271.52/x
  3. Step 3: Cross multiply
    307.92x = 459.18 × 271.52
  4. Step 4: Simplify right side
    307.92x = 124,676.55
  5. Step 5: Solve for x
    x = 124,676.55/307.92
  6. Step 6: Final answer
    x = 404.90

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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.