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Finding the Fourth Proportional to 216.71, 299.20 and 150.30

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Solution

The fourth proportional to 216.71, 299.20 and 150.30 is: 207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.71 : 299.20 = 150.30 : x
  2. Step 2: Convert to fraction form
    216.71/299.20 = 150.30/x
  3. Step 3: Cross multiply
    216.71x = 299.20 × 150.30
  4. Step 4: Simplify right side
    216.71x = 44,969.15
  5. Step 5: Solve for x
    x = 44,969.15/216.71
  6. Step 6: Final answer
    x = 207.51

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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.