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Finding the Fourth Proportional to 131.08, 197.47 and 118.42

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Solution

The fourth proportional to 131.08, 197.47 and 118.42 is: 178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.08 : 197.47 = 118.42 : x
  2. Step 2: Convert to fraction form
    131.08/197.47 = 118.42/x
  3. Step 3: Cross multiply
    131.08x = 197.47 × 118.42
  4. Step 4: Simplify right side
    131.08x = 23,384.40
  5. Step 5: Solve for x
    x = 23,384.40/131.08
  6. Step 6: Final answer
    x = 178.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.