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Finding the Fourth Proportional to 150.19, 207.43 and 106.45

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Solution

The fourth proportional to 150.19, 207.43 and 106.45 is: 147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.19 : 207.43 = 106.45 : x
  2. Step 2: Convert to fraction form
    150.19/207.43 = 106.45/x
  3. Step 3: Cross multiply
    150.19x = 207.43 × 106.45
  4. Step 4: Simplify right side
    150.19x = 22,080.14
  5. Step 5: Solve for x
    x = 22,080.14/150.19
  6. Step 6: Final answer
    x = 147.02

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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.