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Finding the Fourth Proportional to 372.02, 558.37 and 189.55

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Solution

The fourth proportional to 372.02, 558.37 and 189.55 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.02 : 558.37 = 189.55 : x
  2. Step 2: Convert to fraction form
    372.02/558.37 = 189.55/x
  3. Step 3: Cross multiply
    372.02x = 558.37 × 189.55
  4. Step 4: Simplify right side
    372.02x = 105,836.24
  5. Step 5: Solve for x
    x = 105,836.24/372.02
  6. Step 6: Final answer
    x = 284.49

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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.