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Finding the Fourth Proportional to 242.35, 334.31 and 153.67

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Solution

The fourth proportional to 242.35, 334.31 and 153.67 is: 211.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.35 : 334.31 = 153.67 : x
  2. Step 2: Convert to fraction form
    242.35/334.31 = 153.67/x
  3. Step 3: Cross multiply
    242.35x = 334.31 × 153.67
  4. Step 4: Simplify right side
    242.35x = 51,370.98
  5. Step 5: Solve for x
    x = 51,370.98/242.35
  6. Step 6: Final answer
    x = 211.97

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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.