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Finding the Fourth Proportional to 150.46, 207.44 and 109.02

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Solution

The fourth proportional to 150.46, 207.44 and 109.02 is: 150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.46 : 207.44 = 109.02 : x
  2. Step 2: Convert to fraction form
    150.46/207.44 = 109.02/x
  3. Step 3: Cross multiply
    150.46x = 207.44 × 109.02
  4. Step 4: Simplify right side
    150.46x = 22,615.11
  5. Step 5: Solve for x
    x = 22,615.11/150.46
  6. Step 6: Final answer
    x = 150.31

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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.