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Finding the Fourth Proportional to 402.02, 602.79 and 228.61

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Solution

The fourth proportional to 402.02, 602.79 and 228.61 is: 342.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.02 : 602.79 = 228.61 : x
  2. Step 2: Convert to fraction form
    402.02/602.79 = 228.61/x
  3. Step 3: Cross multiply
    402.02x = 602.79 × 228.61
  4. Step 4: Simplify right side
    402.02x = 137,803.82
  5. Step 5: Solve for x
    x = 137,803.82/402.02
  6. Step 6: Final answer
    x = 342.78

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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.