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Finding the Fourth Proportional to 150.20, 207.30 and 92.04

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Solution

The fourth proportional to 150.20, 207.30 and 92.04 is: 127.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.20 : 207.30 = 92.04 : x
  2. Step 2: Convert to fraction form
    150.20/207.30 = 92.04/x
  3. Step 3: Cross multiply
    150.20x = 207.30 × 92.04
  4. Step 4: Simplify right side
    150.20x = 19,079.89
  5. Step 5: Solve for x
    x = 19,079.89/150.20
  6. Step 6: Final answer
    x = 127.03

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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.