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Finding the Fourth Proportional to 276.52, 412.85 and 236.02

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Solution

The fourth proportional to 276.52, 412.85 and 236.02 is: 352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.52 : 412.85 = 236.02 : x
  2. Step 2: Convert to fraction form
    276.52/412.85 = 236.02/x
  3. Step 3: Cross multiply
    276.52x = 412.85 × 236.02
  4. Step 4: Simplify right side
    276.52x = 97,440.86
  5. Step 5: Solve for x
    x = 97,440.86/276.52
  6. Step 6: Final answer
    x = 352.38

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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.