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Finding the Fourth Proportional to 157.08, 235.25 and 133.68

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Solution

The fourth proportional to 157.08, 235.25 and 133.68 is: 200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.08 : 235.25 = 133.68 : x
  2. Step 2: Convert to fraction form
    157.08/235.25 = 133.68/x
  3. Step 3: Cross multiply
    157.08x = 235.25 × 133.68
  4. Step 4: Simplify right side
    157.08x = 31,447.55
  5. Step 5: Solve for x
    x = 31,447.55/157.08
  6. Step 6: Final answer
    x = 200.20

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