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Finding the Fourth Proportional to 158.04, 238.38 and 149.28

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Solution

The fourth proportional to 158.04, 238.38 and 149.28 is: 225.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.04 : 238.38 = 149.28 : x
  2. Step 2: Convert to fraction form
    158.04/238.38 = 149.28/x
  3. Step 3: Cross multiply
    158.04x = 238.38 × 149.28
  4. Step 4: Simplify right side
    158.04x = 35,585.37
  5. Step 5: Solve for x
    x = 35,585.37/158.04
  6. Step 6: Final answer
    x = 225.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.