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Finding the Fourth Proportional to 486.23, 671.01 and 265.20

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Solution

The fourth proportional to 486.23, 671.01 and 265.20 is: 365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.23 : 671.01 = 265.20 : x
  2. Step 2: Convert to fraction form
    486.23/671.01 = 265.20/x
  3. Step 3: Cross multiply
    486.23x = 671.01 × 265.20
  4. Step 4: Simplify right side
    486.23x = 177,948.50
  5. Step 5: Solve for x
    x = 177,948.50/486.23
  6. Step 6: Final answer
    x = 365.98

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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.