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Finding the Fourth Proportional to 286.99, 396.04 and 156.00

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Solution

The fourth proportional to 286.99, 396.04 and 156.00 is: 215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.99 : 396.04 = 156.00 : x
  2. Step 2: Convert to fraction form
    286.99/396.04 = 156.00/x
  3. Step 3: Cross multiply
    286.99x = 396.04 × 156.00
  4. Step 4: Simplify right side
    286.99x = 61,780.95
  5. Step 5: Solve for x
    x = 61,780.95/286.99
  6. Step 6: Final answer
    x = 215.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.