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Finding the Fourth Proportional to 388.76, 583.20 and 226.36

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Solution

The fourth proportional to 388.76, 583.20 and 226.36 is: 339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.76 : 583.20 = 226.36 : x
  2. Step 2: Convert to fraction form
    388.76/583.20 = 226.36/x
  3. Step 3: Cross multiply
    388.76x = 583.20 × 226.36
  4. Step 4: Simplify right side
    388.76x = 132,013.15
  5. Step 5: Solve for x
    x = 132,013.15/388.76
  6. Step 6: Final answer
    x = 339.57

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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.