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Finding the Fourth Proportional to 242.02, 333.72 and 154.66

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Solution

The fourth proportional to 242.02, 333.72 and 154.66 is: 213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.02 : 333.72 = 154.66 : x
  2. Step 2: Convert to fraction form
    242.02/333.72 = 154.66/x
  3. Step 3: Cross multiply
    242.02x = 333.72 × 154.66
  4. Step 4: Simplify right side
    242.02x = 51,613.14
  5. Step 5: Solve for x
    x = 51,613.14/242.02
  6. Step 6: Final answer
    x = 213.26

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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.