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Finding the Fourth Proportional to 157.28, 235.98 and 91.35

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Solution

The fourth proportional to 157.28, 235.98 and 91.35 is: 137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.28 : 235.98 = 91.35 : x
  2. Step 2: Convert to fraction form
    157.28/235.98 = 91.35/x
  3. Step 3: Cross multiply
    157.28x = 235.98 × 91.35
  4. Step 4: Simplify right side
    157.28x = 21,556.77
  5. Step 5: Solve for x
    x = 21,556.77/157.28
  6. Step 6: Final answer
    x = 137.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.