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Finding the Fourth Proportional to 307.52, 461.37 and 271.70

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Solution

The fourth proportional to 307.52, 461.37 and 271.70 is: 407.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.52 : 461.37 = 271.70 : x
  2. Step 2: Convert to fraction form
    307.52/461.37 = 271.70/x
  3. Step 3: Cross multiply
    307.52x = 461.37 × 271.70
  4. Step 4: Simplify right side
    307.52x = 125,354.23
  5. Step 5: Solve for x
    x = 125,354.23/307.52
  6. Step 6: Final answer
    x = 407.63

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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.