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Finding the Fourth Proportional to 486.54, 671.49 and 312.39

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Solution

The fourth proportional to 486.54, 671.49 and 312.39 is: 431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.54 : 671.49 = 312.39 : x
  2. Step 2: Convert to fraction form
    486.54/671.49 = 312.39/x
  3. Step 3: Cross multiply
    486.54x = 671.49 × 312.39
  4. Step 4: Simplify right side
    486.54x = 209,766.76
  5. Step 5: Solve for x
    x = 209,766.76/486.54
  6. Step 6: Final answer
    x = 431.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.