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Finding the Fourth Proportional to 158.70, 236.16 and 157.08

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Solution

The fourth proportional to 158.70, 236.16 and 157.08 is: 233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.70 : 236.16 = 157.08 : x
  2. Step 2: Convert to fraction form
    158.70/236.16 = 157.08/x
  3. Step 3: Cross multiply
    158.70x = 236.16 × 157.08
  4. Step 4: Simplify right side
    158.70x = 37,096.01
  5. Step 5: Solve for x
    x = 37,096.01/158.70
  6. Step 6: Final answer
    x = 233.75

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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.