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Finding the Fourth Proportional to 242.58, 334.83 and 159.55

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Solution

The fourth proportional to 242.58, 334.83 and 159.55 is: 220.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.58 : 334.83 = 159.55 : x
  2. Step 2: Convert to fraction form
    242.58/334.83 = 159.55/x
  3. Step 3: Cross multiply
    242.58x = 334.83 × 159.55
  4. Step 4: Simplify right side
    242.58x = 53,422.13
  5. Step 5: Solve for x
    x = 53,422.13/242.58
  6. Step 6: Final answer
    x = 220.22

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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.