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Finding the Fourth Proportional to 402.10, 601.80 and 369.70

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Solution

The fourth proportional to 402.10, 601.80 and 369.70 is: 553.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.10 : 601.80 = 369.70 : x
  2. Step 2: Convert to fraction form
    402.10/601.80 = 369.70/x
  3. Step 3: Cross multiply
    402.10x = 601.80 × 369.70
  4. Step 4: Simplify right side
    402.10x = 222,485.46
  5. Step 5: Solve for x
    x = 222,485.46/402.10
  6. Step 6: Final answer
    x = 553.31

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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.