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Finding the Fourth Proportional to 426.24, 587.70 and 295.08

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Solution

The fourth proportional to 426.24, 587.70 and 295.08 is: 406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.24 : 587.70 = 295.08 : x
  2. Step 2: Convert to fraction form
    426.24/587.70 = 295.08/x
  3. Step 3: Cross multiply
    426.24x = 587.70 × 295.08
  4. Step 4: Simplify right side
    426.24x = 173,418.52
  5. Step 5: Solve for x
    x = 173,418.52/426.24
  6. Step 6: Final answer
    x = 406.86

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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.