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Finding the Fourth Proportional to 200, 275.76 and 156.16

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Solution

The fourth proportional to 200, 275.76 and 156.16 is: 215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200 : 275.76 = 156.16 : x
  2. Step 2: Convert to fraction form
    200/275.76 = 156.16/x
  3. Step 3: Cross multiply
    200x = 275.76 × 156.16
  4. Step 4: Simplify right side
    200x = 43,062.68
  5. Step 5: Solve for x
    x = 43,062.68/200
  6. Step 6: Final answer
    x = 215.31

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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.