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Finding the Fourth Proportional to 331.44, 497.36 and 139.08

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Solution

The fourth proportional to 331.44, 497.36 and 139.08 is: 208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.44 : 497.36 = 139.08 : x
  2. Step 2: Convert to fraction form
    331.44/497.36 = 139.08/x
  3. Step 3: Cross multiply
    331.44x = 497.36 × 139.08
  4. Step 4: Simplify right side
    331.44x = 69,172.83
  5. Step 5: Solve for x
    x = 69,172.83/331.44
  6. Step 6: Final answer
    x = 208.70

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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.