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Finding the Fourth Proportional to 429.62, 642.94 and 265.02

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Solution

The fourth proportional to 429.62, 642.94 and 265.02 is: 396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.62 : 642.94 = 265.02 : x
  2. Step 2: Convert to fraction form
    429.62/642.94 = 265.02/x
  3. Step 3: Cross multiply
    429.62x = 642.94 × 265.02
  4. Step 4: Simplify right side
    429.62x = 170,391.96
  5. Step 5: Solve for x
    x = 170,391.96/429.62
  6. Step 6: Final answer
    x = 396.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.