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Finding the Fourth Proportional to 157.55, 235.04 and 131.90

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Solution

The fourth proportional to 157.55, 235.04 and 131.90 is: 196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.55 : 235.04 = 131.90 : x
  2. Step 2: Convert to fraction form
    157.55/235.04 = 131.90/x
  3. Step 3: Cross multiply
    157.55x = 235.04 × 131.90
  4. Step 4: Simplify right side
    157.55x = 30,999.94
  5. Step 5: Solve for x
    x = 30,999.94/157.55
  6. Step 6: Final answer
    x = 196.77

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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.