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Finding the Fourth Proportional to 239.90, 331.05 and 146.80

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Solution

The fourth proportional to 239.90, 331.05 and 146.80 is: 202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.90 : 331.05 = 146.80 : x
  2. Step 2: Convert to fraction form
    239.90/331.05 = 146.80/x
  3. Step 3: Cross multiply
    239.90x = 331.05 × 146.80
  4. Step 4: Simplify right side
    239.90x = 48,598.14
  5. Step 5: Solve for x
    x = 48,598.14/239.90
  6. Step 6: Final answer
    x = 202.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.