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Finding the Fourth Proportional to 487.12, 671.94 and 290.50

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Solution

The fourth proportional to 487.12, 671.94 and 290.50 is: 400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.12 : 671.94 = 290.50 : x
  2. Step 2: Convert to fraction form
    487.12/671.94 = 290.50/x
  3. Step 3: Cross multiply
    487.12x = 671.94 × 290.50
  4. Step 4: Simplify right side
    487.12x = 195,198.57
  5. Step 5: Solve for x
    x = 195,198.57/487.12
  6. Step 6: Final answer
    x = 400.72

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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.