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Finding the Fourth Proportional to 200.04, 275.70 and 150.90

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Solution

The fourth proportional to 200.04, 275.70 and 150.90 is: 207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.04 : 275.70 = 150.90 : x
  2. Step 2: Convert to fraction form
    200.04/275.70 = 150.90/x
  3. Step 3: Cross multiply
    200.04x = 275.70 × 150.90
  4. Step 4: Simplify right side
    200.04x = 41,603.13
  5. Step 5: Solve for x
    x = 41,603.13/200.04
  6. Step 6: Final answer
    x = 207.97

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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.