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Finding the Fourth Proportional to 150.88, 208.08 and 123.28

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Solution

The fourth proportional to 150.88, 208.08 and 123.28 is: 170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.88 : 208.08 = 123.28 : x
  2. Step 2: Convert to fraction form
    150.88/208.08 = 123.28/x
  3. Step 3: Cross multiply
    150.88x = 208.08 × 123.28
  4. Step 4: Simplify right side
    150.88x = 25,652.10
  5. Step 5: Solve for x
    x = 25,652.10/150.88
  6. Step 6: Final answer
    x = 170.02

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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.