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Finding the Fourth Proportional to 242.46, 360.81 and 233.82

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Solution

The fourth proportional to 242.46, 360.81 and 233.82 is: 347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.46 : 360.81 = 233.82 : x
  2. Step 2: Convert to fraction form
    242.46/360.81 = 233.82/x
  3. Step 3: Cross multiply
    242.46x = 360.81 × 233.82
  4. Step 4: Simplify right side
    242.46x = 84,364.59
  5. Step 5: Solve for x
    x = 84,364.59/242.46
  6. Step 6: Final answer
    x = 347.95

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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.