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Finding the Fourth Proportional to 150.66, 207.50 and 150.21

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Solution

The fourth proportional to 150.66, 207.50 and 150.21 is: 206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.66 : 207.50 = 150.21 : x
  2. Step 2: Convert to fraction form
    150.66/207.50 = 150.21/x
  3. Step 3: Cross multiply
    150.66x = 207.50 × 150.21
  4. Step 4: Simplify right side
    150.66x = 31,167.82
  5. Step 5: Solve for x
    x = 31,167.82/150.66
  6. Step 6: Final answer
    x = 206.88

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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.