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Finding the Fourth Proportional to 307.13, 458.44 and 271.09

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Solution

The fourth proportional to 307.13, 458.44 and 271.09 is: 404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.13 : 458.44 = 271.09 : x
  2. Step 2: Convert to fraction form
    307.13/458.44 = 271.09/x
  3. Step 3: Cross multiply
    307.13x = 458.44 × 271.09
  4. Step 4: Simplify right side
    307.13x = 124,276.21
  5. Step 5: Solve for x
    x = 124,276.21/307.13
  6. Step 6: Final answer
    x = 404.64

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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.