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Finding the Fourth Proportional to 241.02, 359.10 and 231.66

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Solution

The fourth proportional to 241.02, 359.10 and 231.66 is: 345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.02 : 359.10 = 231.66 : x
  2. Step 2: Convert to fraction form
    241.02/359.10 = 231.66/x
  3. Step 3: Cross multiply
    241.02x = 359.10 × 231.66
  4. Step 4: Simplify right side
    241.02x = 83,189.11
  5. Step 5: Solve for x
    x = 83,189.11/241.02
  6. Step 6: Final answer
    x = 345.15

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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.