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Finding the Fourth Proportional to 518.16, 777.28 and 229.76

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Solution

The fourth proportional to 518.16, 777.28 and 229.76 is: 344.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.16 : 777.28 = 229.76 : x
  2. Step 2: Convert to fraction form
    518.16/777.28 = 229.76/x
  3. Step 3: Cross multiply
    518.16x = 777.28 × 229.76
  4. Step 4: Simplify right side
    518.16x = 178,587.85
  5. Step 5: Solve for x
    x = 178,587.85/518.16
  6. Step 6: Final answer
    x = 344.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.