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Finding the Fourth Proportional to 207.50, 309.99 and 185.63

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Solution

The fourth proportional to 207.50, 309.99 and 185.63 is: 277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.50 : 309.99 = 185.63 : x
  2. Step 2: Convert to fraction form
    207.50/309.99 = 185.63/x
  3. Step 3: Cross multiply
    207.50x = 309.99 × 185.63
  4. Step 4: Simplify right side
    207.50x = 57,542.59
  5. Step 5: Solve for x
    x = 57,542.59/207.50
  6. Step 6: Final answer
    x = 277.32

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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.