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Finding the Fourth Proportional to 360.94, 541.53 and 237.61

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Solution

The fourth proportional to 360.94, 541.53 and 237.61 is: 356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.94 : 541.53 = 237.61 : x
  2. Step 2: Convert to fraction form
    360.94/541.53 = 237.61/x
  3. Step 3: Cross multiply
    360.94x = 541.53 × 237.61
  4. Step 4: Simplify right side
    360.94x = 128,672.94
  5. Step 5: Solve for x
    x = 128,672.94/360.94
  6. Step 6: Final answer
    x = 356.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.