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Finding the Fourth Proportional to 158.40, 238.57 and 144.12

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Solution

The fourth proportional to 158.40, 238.57 and 144.12 is: 217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.40 : 238.57 = 144.12 : x
  2. Step 2: Convert to fraction form
    158.40/238.57 = 144.12/x
  3. Step 3: Cross multiply
    158.40x = 238.57 × 144.12
  4. Step 4: Simplify right side
    158.40x = 34,382.71
  5. Step 5: Solve for x
    x = 34,382.71/158.40
  6. Step 6: Final answer
    x = 217.06

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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.