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Finding the Fourth Proportional to 487.40, 672.62 and 290.92

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Solution

The fourth proportional to 487.40, 672.62 and 290.92 is: 401.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.40 : 672.62 = 290.92 : x
  2. Step 2: Convert to fraction form
    487.40/672.62 = 290.92/x
  3. Step 3: Cross multiply
    487.40x = 672.62 × 290.92
  4. Step 4: Simplify right side
    487.40x = 195,678.61
  5. Step 5: Solve for x
    x = 195,678.61/487.40
  6. Step 6: Final answer
    x = 401.47

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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.