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Finding the Fourth Proportional to 487.80, 672.98 and 301.10

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Solution

The fourth proportional to 487.80, 672.98 and 301.10 is: 415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.80 : 672.98 = 301.10 : x
  2. Step 2: Convert to fraction form
    487.80/672.98 = 301.10/x
  3. Step 3: Cross multiply
    487.80x = 672.98 × 301.10
  4. Step 4: Simplify right side
    487.80x = 202,629.41
  5. Step 5: Solve for x
    x = 202,629.41/487.80
  6. Step 6: Final answer
    x = 415.39

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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.