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Finding the Fourth Proportional to 518.01, 776.66 and 244.13

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Solution

The fourth proportional to 518.01, 776.66 and 244.13 is: 366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.01 : 776.66 = 244.13 : x
  2. Step 2: Convert to fraction form
    518.01/776.66 = 244.13/x
  3. Step 3: Cross multiply
    518.01x = 776.66 × 244.13
  4. Step 4: Simplify right side
    518.01x = 189,600.90
  5. Step 5: Solve for x
    x = 189,600.90/518.01
  6. Step 6: Final answer
    x = 366.02

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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.