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Finding the Fourth Proportional to 426.42, 642.22 and 375.72

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Solution

The fourth proportional to 426.42, 642.22 and 375.72 is: 565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.42 : 642.22 = 375.72 : x
  2. Step 2: Convert to fraction form
    426.42/642.22 = 375.72/x
  3. Step 3: Cross multiply
    426.42x = 642.22 × 375.72
  4. Step 4: Simplify right side
    426.42x = 241,294.90
  5. Step 5: Solve for x
    x = 241,294.90/426.42
  6. Step 6: Final answer
    x = 565.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.