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Finding the Fourth Proportional to 488.19, 672.90 and 301.26

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Solution

The fourth proportional to 488.19, 672.90 and 301.26 is: 415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.19 : 672.90 = 301.26 : x
  2. Step 2: Convert to fraction form
    488.19/672.90 = 301.26/x
  3. Step 3: Cross multiply
    488.19x = 672.90 × 301.26
  4. Step 4: Simplify right side
    488.19x = 202,717.85
  5. Step 5: Solve for x
    x = 202,717.85/488.19
  6. Step 6: Final answer
    x = 415.24

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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.