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Finding the Fourth Proportional to 269.59, 374.01 and 259.87

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Solution

The fourth proportional to 269.59, 374.01 and 259.87 is: 360.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.59 : 374.01 = 259.87 : x
  2. Step 2: Convert to fraction form
    269.59/374.01 = 259.87/x
  3. Step 3: Cross multiply
    269.59x = 374.01 × 259.87
  4. Step 4: Simplify right side
    269.59x = 97,190.81
  5. Step 5: Solve for x
    x = 97,190.81/269.59
  6. Step 6: Final answer
    x = 360.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.