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Finding the Fourth Proportional to 429.97, 645.04 and 156.07

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Solution

The fourth proportional to 429.97, 645.04 and 156.07 is: 234.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.97 : 645.04 = 156.07 : x
  2. Step 2: Convert to fraction form
    429.97/645.04 = 156.07/x
  3. Step 3: Cross multiply
    429.97x = 645.04 × 156.07
  4. Step 4: Simplify right side
    429.97x = 100,671.39
  5. Step 5: Solve for x
    x = 100,671.39/429.97
  6. Step 6: Final answer
    x = 234.14

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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.