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Finding the Fourth Proportional to 202.94, 279.96 and 159.20

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Solution

The fourth proportional to 202.94, 279.96 and 159.20 is: 219.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.94 : 279.96 = 159.20 : x
  2. Step 2: Convert to fraction form
    202.94/279.96 = 159.20/x
  3. Step 3: Cross multiply
    202.94x = 279.96 × 159.20
  4. Step 4: Simplify right side
    202.94x = 44,569.63
  5. Step 5: Solve for x
    x = 44,569.63/202.94
  6. Step 6: Final answer
    x = 219.62

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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.