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Finding the Fourth Proportional to 131.85, 197.59 and 73.30

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Solution

The fourth proportional to 131.85, 197.59 and 73.30 is: 109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.85 : 197.59 = 73.30 : x
  2. Step 2: Convert to fraction form
    131.85/197.59 = 73.30/x
  3. Step 3: Cross multiply
    131.85x = 197.59 × 73.30
  4. Step 4: Simplify right side
    131.85x = 14,483.35
  5. Step 5: Solve for x
    x = 14,483.35/131.85
  6. Step 6: Final answer
    x = 109.85

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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.