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Finding the Fourth Proportional to 429.15, 641.90 and 264.21

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Solution

The fourth proportional to 429.15, 641.90 and 264.21 is: 395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.15 : 641.90 = 264.21 : x
  2. Step 2: Convert to fraction form
    429.15/641.90 = 264.21/x
  3. Step 3: Cross multiply
    429.15x = 641.90 × 264.21
  4. Step 4: Simplify right side
    429.15x = 169,595.08
  5. Step 5: Solve for x
    x = 169,595.08/429.15
  6. Step 6: Final answer
    x = 395.19

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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.