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Finding the Fourth Proportional to 409.53, 614.30 and 228.07

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Solution

The fourth proportional to 409.53, 614.30 and 228.07 is: 342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.53 : 614.30 = 228.07 : x
  2. Step 2: Convert to fraction form
    409.53/614.30 = 228.07/x
  3. Step 3: Cross multiply
    409.53x = 614.30 × 228.07
  4. Step 4: Simplify right side
    409.53x = 140,104.85
  5. Step 5: Solve for x
    x = 140,104.85/409.53
  6. Step 6: Final answer
    x = 342.11

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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.