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Finding the Fourth Proportional to 498.19, 747.56 and 241.69

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Solution

The fourth proportional to 498.19, 747.56 and 241.69 is: 362.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.19 : 747.56 = 241.69 : x
  2. Step 2: Convert to fraction form
    498.19/747.56 = 241.69/x
  3. Step 3: Cross multiply
    498.19x = 747.56 × 241.69
  4. Step 4: Simplify right side
    498.19x = 180,674.70
  5. Step 5: Solve for x
    x = 180,674.70/498.19
  6. Step 6: Final answer
    x = 362.66

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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.