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Finding the Fourth Proportional to 498.74, 748.42 and 190.64

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Solution

The fourth proportional to 498.74, 748.42 and 190.64 is: 286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.74 : 748.42 = 190.64 : x
  2. Step 2: Convert to fraction form
    498.74/748.42 = 190.64/x
  3. Step 3: Cross multiply
    498.74x = 748.42 × 190.64
  4. Step 4: Simplify right side
    498.74x = 142,678.79
  5. Step 5: Solve for x
    x = 142,678.79/498.74
  6. Step 6: Final answer
    x = 286.08

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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.