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Finding the Fourth Proportional to 429.90, 645.25 and 186.69

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Solution

The fourth proportional to 429.90, 645.25 and 186.69 is: 280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.90 : 645.25 = 186.69 : x
  2. Step 2: Convert to fraction form
    429.90/645.25 = 186.69/x
  3. Step 3: Cross multiply
    429.90x = 645.25 × 186.69
  4. Step 4: Simplify right side
    429.90x = 120,461.72
  5. Step 5: Solve for x
    x = 120,461.72/429.90
  6. Step 6: Final answer
    x = 280.21

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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.