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Finding the Fourth Proportional to 242.26, 334.46 and 153.76

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Solution

The fourth proportional to 242.26, 334.46 and 153.76 is: 212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.26 : 334.46 = 153.76 : x
  2. Step 2: Convert to fraction form
    242.26/334.46 = 153.76/x
  3. Step 3: Cross multiply
    242.26x = 334.46 × 153.76
  4. Step 4: Simplify right side
    242.26x = 51,426.57
  5. Step 5: Solve for x
    x = 51,426.57/242.26
  6. Step 6: Final answer
    x = 212.28

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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.