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Finding the Fourth Proportional to 286.36, 428.03 and 237.40

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Solution

The fourth proportional to 286.36, 428.03 and 237.40 is: 354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.36 : 428.03 = 237.40 : x
  2. Step 2: Convert to fraction form
    286.36/428.03 = 237.40/x
  3. Step 3: Cross multiply
    286.36x = 428.03 × 237.40
  4. Step 4: Simplify right side
    286.36x = 101,614.32
  5. Step 5: Solve for x
    x = 101,614.32/286.36
  6. Step 6: Final answer
    x = 354.85

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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.