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Finding the Fourth Proportional to 429.09, 642.41 and 291.93

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Solution

The fourth proportional to 429.09, 642.41 and 291.93 is: 437.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.09 : 642.41 = 291.93 : x
  2. Step 2: Convert to fraction form
    429.09/642.41 = 291.93/x
  3. Step 3: Cross multiply
    429.09x = 642.41 × 291.93
  4. Step 4: Simplify right side
    429.09x = 187,538.75
  5. Step 5: Solve for x
    x = 187,538.75/429.09
  6. Step 6: Final answer
    x = 437.06

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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.