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Finding the Fourth Proportional to 200.34, 299.14 and 159.30

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Solution

The fourth proportional to 200.34, 299.14 and 159.30 is: 237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.34 : 299.14 = 159.30 : x
  2. Step 2: Convert to fraction form
    200.34/299.14 = 159.30/x
  3. Step 3: Cross multiply
    200.34x = 299.14 × 159.30
  4. Step 4: Simplify right side
    200.34x = 47,652.60
  5. Step 5: Solve for x
    x = 47,652.60/200.34
  6. Step 6: Final answer
    x = 237.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.