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Finding the Fourth Proportional to 369.71, 510.19 and 201.66

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Solution

The fourth proportional to 369.71, 510.19 and 201.66 is: 278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.71 : 510.19 = 201.66 : x
  2. Step 2: Convert to fraction form
    369.71/510.19 = 201.66/x
  3. Step 3: Cross multiply
    369.71x = 510.19 × 201.66
  4. Step 4: Simplify right side
    369.71x = 102,882.63
  5. Step 5: Solve for x
    x = 102,882.63/369.71
  6. Step 6: Final answer
    x = 278.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.