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Finding the Fourth Proportional to 429, 591.86 and 251.81

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Solution

The fourth proportional to 429, 591.86 and 251.81 is: 347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429 : 591.86 = 251.81 : x
  2. Step 2: Convert to fraction form
    429/591.86 = 251.81/x
  3. Step 3: Cross multiply
    429x = 591.86 × 251.81
  4. Step 4: Simplify right side
    429x = 149,032.05
  5. Step 5: Solve for x
    x = 149,032.05/429
  6. Step 6: Final answer
    x = 347.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.