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Finding the Fourth Proportional to 429, 591.78 and 297.96

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Solution

The fourth proportional to 429, 591.78 and 297.96 is: 411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    429 : 591.78 = 297.96 : x
  2. Step 2: Convert to fraction form
    429/591.78 = 297.96/x
  3. Step 3: Cross multiply
    429x = 591.78 × 297.96
  4. Step 4: Simplify right side
    429x = 176,326.77
  5. Step 5: Solve for x
    x = 176,326.77/429
  6. Step 6: Final answer
    x = 411.02

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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.