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Finding the Fourth Proportional to 402.84, 604.56 and 186.57

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Solution

The fourth proportional to 402.84, 604.56 and 186.57 is: 280.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.84 : 604.56 = 186.57 : x
  2. Step 2: Convert to fraction form
    402.84/604.56 = 186.57/x
  3. Step 3: Cross multiply
    402.84x = 604.56 × 186.57
  4. Step 4: Simplify right side
    402.84x = 112,793.46
  5. Step 5: Solve for x
    x = 112,793.46/402.84
  6. Step 6: Final answer
    x = 280.00

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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.