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Finding the Fourth Proportional to 498.38, 747.69 and 190.22

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Solution

The fourth proportional to 498.38, 747.69 and 190.22 is: 285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.38 : 747.69 = 190.22 : x
  2. Step 2: Convert to fraction form
    498.38/747.69 = 190.22/x
  3. Step 3: Cross multiply
    498.38x = 747.69 × 190.22
  4. Step 4: Simplify right side
    498.38x = 142,225.59
  5. Step 5: Solve for x
    x = 142,225.59/498.38
  6. Step 6: Final answer
    x = 285.38

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