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Finding the Fourth Proportional to 486.14, 671.16 and 320.63

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Solution

The fourth proportional to 486.14, 671.16 and 320.63 is: 442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.14 : 671.16 = 320.63 : x
  2. Step 2: Convert to fraction form
    486.14/671.16 = 320.63/x
  3. Step 3: Cross multiply
    486.14x = 671.16 × 320.63
  4. Step 4: Simplify right side
    486.14x = 215,190.68
  5. Step 5: Solve for x
    x = 215,190.68/486.14
  6. Step 6: Final answer
    x = 442.66

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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.