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Finding the Fourth Proportional to 429.32, 643.38 and 212.68

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Solution

The fourth proportional to 429.32, 643.38 and 212.68 is: 318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.32 : 643.38 = 212.68 : x
  2. Step 2: Convert to fraction form
    429.32/643.38 = 212.68/x
  3. Step 3: Cross multiply
    429.32x = 643.38 × 212.68
  4. Step 4: Simplify right side
    429.32x = 136,834.06
  5. Step 5: Solve for x
    x = 136,834.06/429.32
  6. Step 6: Final answer
    x = 318.72

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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.