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Finding the Fourth Proportional to 241.80, 360.93 and 207.78

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Solution

The fourth proportional to 241.80, 360.93 and 207.78 is: 310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.80 : 360.93 = 207.78 : x
  2. Step 2: Convert to fraction form
    241.80/360.93 = 207.78/x
  3. Step 3: Cross multiply
    241.80x = 360.93 × 207.78
  4. Step 4: Simplify right side
    241.80x = 74,994.04
  5. Step 5: Solve for x
    x = 74,994.04/241.80
  6. Step 6: Final answer
    x = 310.15

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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.