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Finding the Fourth Proportional to 242.07, 333.77 and 176.55

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Solution

The fourth proportional to 242.07, 333.77 and 176.55 is: 243.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.07 : 333.77 = 176.55 : x
  2. Step 2: Convert to fraction form
    242.07/333.77 = 176.55/x
  3. Step 3: Cross multiply
    242.07x = 333.77 × 176.55
  4. Step 4: Simplify right side
    242.07x = 58,926.21
  5. Step 5: Solve for x
    x = 58,926.21/242.07
  6. Step 6: Final answer
    x = 243.43

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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.