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Finding the Fourth Proportional to 486.45, 671.33 and 290.02

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Solution

The fourth proportional to 486.45, 671.33 and 290.02 is: 400.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.45 : 671.33 = 290.02 : x
  2. Step 2: Convert to fraction form
    486.45/671.33 = 290.02/x
  3. Step 3: Cross multiply
    486.45x = 671.33 × 290.02
  4. Step 4: Simplify right side
    486.45x = 194,699.13
  5. Step 5: Solve for x
    x = 194,699.13/486.45
  6. Step 6: Final answer
    x = 400.24

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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.