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Finding the Fourth Proportional to 426.32, 587.61 and 301.82

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Solution

The fourth proportional to 426.32, 587.61 and 301.82 is: 416.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.32 : 587.61 = 301.82 : x
  2. Step 2: Convert to fraction form
    426.32/587.61 = 301.82/x
  3. Step 3: Cross multiply
    426.32x = 587.61 × 301.82
  4. Step 4: Simplify right side
    426.32x = 177,350.98
  5. Step 5: Solve for x
    x = 177,350.98/426.32
  6. Step 6: Final answer
    x = 416.01

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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.