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Finding the Fourth Proportional to 487.02, 672.16 and 290.48

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Solution

The fourth proportional to 487.02, 672.16 and 290.48 is: 400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.02 : 672.16 = 290.48 : x
  2. Step 2: Convert to fraction form
    487.02/672.16 = 290.48/x
  3. Step 3: Cross multiply
    487.02x = 672.16 × 290.48
  4. Step 4: Simplify right side
    487.02x = 195,249.04
  5. Step 5: Solve for x
    x = 195,249.04/487.02
  6. Step 6: Final answer
    x = 400.91

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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.