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Finding the Fourth Proportional to 286.90, 430.56 and 165.24

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Solution

The fourth proportional to 286.90, 430.56 and 165.24 is: 247.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.90 : 430.56 = 165.24 : x
  2. Step 2: Convert to fraction form
    286.90/430.56 = 165.24/x
  3. Step 3: Cross multiply
    286.90x = 430.56 × 165.24
  4. Step 4: Simplify right side
    286.90x = 71,145.73
  5. Step 5: Solve for x
    x = 71,145.73/286.90
  6. Step 6: Final answer
    x = 247.98

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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.