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Finding the Fourth Proportional to 818.78, 1,228.08 and 241.66

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Solution

The fourth proportional to 818.78, 1,228.08 and 241.66 is: 362.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.78 : 1,228.08 = 241.66 : x
  2. Step 2: Convert to fraction form
    818.78/1,228.08 = 241.66/x
  3. Step 3: Cross multiply
    818.78x = 1,228.08 × 241.66
  4. Step 4: Simplify right side
    818.78x = 296,777.81
  5. Step 5: Solve for x
    x = 296,777.81/818.78
  6. Step 6: Final answer
    x = 362.46

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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.