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Finding the Fourth Proportional to 487.23, 672.39 and 290.76

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Solution

The fourth proportional to 487.23, 672.39 and 290.76 is: 401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.23 : 672.39 = 290.76 : x
  2. Step 2: Convert to fraction form
    487.23/672.39 = 290.76/x
  3. Step 3: Cross multiply
    487.23x = 672.39 × 290.76
  4. Step 4: Simplify right side
    487.23x = 195,504.12
  5. Step 5: Solve for x
    x = 195,504.12/487.23
  6. Step 6: Final answer
    x = 401.26

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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.