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Finding the Fourth Proportional to 157.38, 216.75 and 135.54

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Solution

The fourth proportional to 157.38, 216.75 and 135.54 is: 186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.38 : 216.75 = 135.54 : x
  2. Step 2: Convert to fraction form
    157.38/216.75 = 135.54/x
  3. Step 3: Cross multiply
    157.38x = 216.75 × 135.54
  4. Step 4: Simplify right side
    157.38x = 29,378.30
  5. Step 5: Solve for x
    x = 29,378.30/157.38
  6. Step 6: Final answer
    x = 186.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.