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Finding the Fourth Proportional to 157.53, 234.93 and 138.36

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Solution

The fourth proportional to 157.53, 234.93 and 138.36 is: 206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.53 : 234.93 = 138.36 : x
  2. Step 2: Convert to fraction form
    157.53/234.93 = 138.36/x
  3. Step 3: Cross multiply
    157.53x = 234.93 × 138.36
  4. Step 4: Simplify right side
    157.53x = 32,504.91
  5. Step 5: Solve for x
    x = 32,504.91/157.53
  6. Step 6: Final answer
    x = 206.34

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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.