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Finding the Fourth Proportional to 242.22, 333.83 and 176.61

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Solution

The fourth proportional to 242.22, 333.83 and 176.61 is: 243.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.22 : 333.83 = 176.61 : x
  2. Step 2: Convert to fraction form
    242.22/333.83 = 176.61/x
  3. Step 3: Cross multiply
    242.22x = 333.83 × 176.61
  4. Step 4: Simplify right side
    242.22x = 58,956.83
  5. Step 5: Solve for x
    x = 58,956.83/242.22
  6. Step 6: Final answer
    x = 243.40

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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.