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Finding the Fourth Proportional to 286.17, 428.91 and 145.38

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Solution

The fourth proportional to 286.17, 428.91 and 145.38 is: 217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.17 : 428.91 = 145.38 : x
  2. Step 2: Convert to fraction form
    286.17/428.91 = 145.38/x
  3. Step 3: Cross multiply
    286.17x = 428.91 × 145.38
  4. Step 4: Simplify right side
    286.17x = 62,354.94
  5. Step 5: Solve for x
    x = 62,354.94/286.17
  6. Step 6: Final answer
    x = 217.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.