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Finding the Fourth Proportional to 207.50, 309.35 and 184.28

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Solution

The fourth proportional to 207.50, 309.35 and 184.28 is: 274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.50 : 309.35 = 184.28 : x
  2. Step 2: Convert to fraction form
    207.50/309.35 = 184.28/x
  3. Step 3: Cross multiply
    207.50x = 309.35 × 184.28
  4. Step 4: Simplify right side
    207.50x = 57,005.93
  5. Step 5: Solve for x
    x = 57,005.93/207.50
  6. Step 6: Final answer
    x = 274.73

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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.