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Finding the Fourth Proportional to 157.89, 238.04 and 149.52

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Solution

The fourth proportional to 157.89, 238.04 and 149.52 is: 225.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.89 : 238.04 = 149.52 : x
  2. Step 2: Convert to fraction form
    157.89/238.04 = 149.52/x
  3. Step 3: Cross multiply
    157.89x = 238.04 × 149.52
  4. Step 4: Simplify right side
    157.89x = 35,590.99
  5. Step 5: Solve for x
    x = 35,590.99/157.89
  6. Step 6: Final answer
    x = 225.42

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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.