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Finding the Fourth Proportional to 276.59, 412.49 and 235.71

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Solution

The fourth proportional to 276.59, 412.49 and 235.71 is: 351.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.59 : 412.49 = 235.71 : x
  2. Step 2: Convert to fraction form
    276.59/412.49 = 235.71/x
  3. Step 3: Cross multiply
    276.59x = 412.49 × 235.71
  4. Step 4: Simplify right side
    276.59x = 97,226.84
  5. Step 5: Solve for x
    x = 97,226.84/276.59
  6. Step 6: Final answer
    x = 351.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.