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Finding the Fourth Proportional to 200.30, 276.09 and 156.56

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Solution

The fourth proportional to 200.30, 276.09 and 156.56 is: 215.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.30 : 276.09 = 156.56 : x
  2. Step 2: Convert to fraction form
    200.30/276.09 = 156.56/x
  3. Step 3: Cross multiply
    200.30x = 276.09 × 156.56
  4. Step 4: Simplify right side
    200.30x = 43,224.65
  5. Step 5: Solve for x
    x = 43,224.65/200.30
  6. Step 6: Final answer
    x = 215.80

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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.