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Finding the Fourth Proportional to 403.65, 557.07 and 228.96

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Solution

The fourth proportional to 403.65, 557.07 and 228.96 is: 315.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.65 : 557.07 = 228.96 : x
  2. Step 2: Convert to fraction form
    403.65/557.07 = 228.96/x
  3. Step 3: Cross multiply
    403.65x = 557.07 × 228.96
  4. Step 4: Simplify right side
    403.65x = 127,546.75
  5. Step 5: Solve for x
    x = 127,546.75/403.65
  6. Step 6: Final answer
    x = 315.98

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Why These Related Problems?

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