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Finding the Fourth Proportional to 291.01, 399.89 and 232.69

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Solution

The fourth proportional to 291.01, 399.89 and 232.69 is: 319.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.01 : 399.89 = 232.69 : x
  2. Step 2: Convert to fraction form
    291.01/399.89 = 232.69/x
  3. Step 3: Cross multiply
    291.01x = 399.89 × 232.69
  4. Step 4: Simplify right side
    291.01x = 93,050.40
  5. Step 5: Solve for x
    x = 93,050.40/291.01
  6. Step 6: Final answer
    x = 319.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.