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Finding the Fourth Proportional to 518.18, 778.35 and 302.18

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Solution

The fourth proportional to 518.18, 778.35 and 302.18 is: 453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.18 : 778.35 = 302.18 : x
  2. Step 2: Convert to fraction form
    518.18/778.35 = 302.18/x
  3. Step 3: Cross multiply
    518.18x = 778.35 × 302.18
  4. Step 4: Simplify right side
    518.18x = 235,201.80
  5. Step 5: Solve for x
    x = 235,201.80/518.18
  6. Step 6: Final answer
    x = 453.90

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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.