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Finding the Fourth Proportional to 488.98, 672.14 and 400.30

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Solution

The fourth proportional to 488.98, 672.14 and 400.30 is: 550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.98 : 672.14 = 400.30 : x
  2. Step 2: Convert to fraction form
    488.98/672.14 = 400.30/x
  3. Step 3: Cross multiply
    488.98x = 672.14 × 400.30
  4. Step 4: Simplify right side
    488.98x = 269,057.64
  5. Step 5: Solve for x
    x = 269,057.64/488.98
  6. Step 6: Final answer
    x = 550.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.