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Finding the Fourth Proportional to 242.12, 333.74 and 154.64

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Solution

The fourth proportional to 242.12, 333.74 and 154.64 is: 213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.12 : 333.74 = 154.64 : x
  2. Step 2: Convert to fraction form
    242.12/333.74 = 154.64/x
  3. Step 3: Cross multiply
    242.12x = 333.74 × 154.64
  4. Step 4: Simplify right side
    242.12x = 51,609.55
  5. Step 5: Solve for x
    x = 51,609.55/242.12
  6. Step 6: Final answer
    x = 213.16

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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.