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Finding the Fourth Proportional to 158.65, 236.05 and 158.09

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Solution

The fourth proportional to 158.65, 236.05 and 158.09 is: 235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.65 : 236.05 = 158.09 : x
  2. Step 2: Convert to fraction form
    158.65/236.05 = 158.09/x
  3. Step 3: Cross multiply
    158.65x = 236.05 × 158.09
  4. Step 4: Simplify right side
    158.65x = 37,315.57
  5. Step 5: Solve for x
    x = 37,315.57/158.65
  6. Step 6: Final answer
    x = 235.21

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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.