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Finding the Fourth Proportional to 242.22, 360.74 and 235.74

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Solution

The fourth proportional to 242.22, 360.74 and 235.74 is: 351.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.22 : 360.74 = 235.74 : x
  2. Step 2: Convert to fraction form
    242.22/360.74 = 235.74/x
  3. Step 3: Cross multiply
    242.22x = 360.74 × 235.74
  4. Step 4: Simplify right side
    242.22x = 85,039.67
  5. Step 5: Solve for x
    x = 85,039.67/242.22
  6. Step 6: Final answer
    x = 351.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.