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Finding the Fourth Proportional to 353.16, 487.13 and 228.96

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Solution

The fourth proportional to 353.16, 487.13 and 228.96 is: 315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.16 : 487.13 = 228.96 : x
  2. Step 2: Convert to fraction form
    353.16/487.13 = 228.96/x
  3. Step 3: Cross multiply
    353.16x = 487.13 × 228.96
  4. Step 4: Simplify right side
    353.16x = 111,532.14
  5. Step 5: Solve for x
    x = 111,532.14/353.16
  6. Step 6: Final answer
    x = 315.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.