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Finding the Fourth Proportional to 429.12, 642.56 and 301.12

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Solution

The fourth proportional to 429.12, 642.56 and 301.12 is: 450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.12 : 642.56 = 301.12 : x
  2. Step 2: Convert to fraction form
    429.12/642.56 = 301.12/x
  3. Step 3: Cross multiply
    429.12x = 642.56 × 301.12
  4. Step 4: Simplify right side
    429.12x = 193,487.67
  5. Step 5: Solve for x
    x = 193,487.67/429.12
  6. Step 6: Final answer
    x = 450.89

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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.