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Finding the Fourth Proportional to 255.86, 353.32 and 242.22

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Solution

The fourth proportional to 255.86, 353.32 and 242.22 is: 334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.86 : 353.32 = 242.22 : x
  2. Step 2: Convert to fraction form
    255.86/353.32 = 242.22/x
  3. Step 3: Cross multiply
    255.86x = 353.32 × 242.22
  4. Step 4: Simplify right side
    255.86x = 85,581.17
  5. Step 5: Solve for x
    x = 85,581.17/255.86
  6. Step 6: Final answer
    x = 334.48

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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.