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Finding the Fourth Proportional to 426.02, 587.44 and 366.94

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Solution

The fourth proportional to 426.02, 587.44 and 366.94 is: 505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.02 : 587.44 = 366.94 : x
  2. Step 2: Convert to fraction form
    426.02/587.44 = 366.94/x
  3. Step 3: Cross multiply
    426.02x = 587.44 × 366.94
  4. Step 4: Simplify right side
    426.02x = 215,555.23
  5. Step 5: Solve for x
    x = 215,555.23/426.02
  6. Step 6: Final answer
    x = 505.97

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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.