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Finding the Fourth Proportional to 159.77, 238.13 and 150.90

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Solution

The fourth proportional to 159.77, 238.13 and 150.90 is: 224.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.77 : 238.13 = 150.90 : x
  2. Step 2: Convert to fraction form
    159.77/238.13 = 150.90/x
  3. Step 3: Cross multiply
    159.77x = 238.13 × 150.90
  4. Step 4: Simplify right side
    159.77x = 35,933.06
  5. Step 5: Solve for x
    x = 35,933.06/159.77
  6. Step 6: Final answer
    x = 224.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.