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Finding the Fourth Proportional to 207.56, 309.72 and 178.40

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Solution

The fourth proportional to 207.56, 309.72 and 178.40 is: 266.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.56 : 309.72 = 178.40 : x
  2. Step 2: Convert to fraction form
    207.56/309.72 = 178.40/x
  3. Step 3: Cross multiply
    207.56x = 309.72 × 178.40
  4. Step 4: Simplify right side
    207.56x = 55,255.49
  5. Step 5: Solve for x
    x = 55,255.49/207.56
  6. Step 6: Final answer
    x = 266.21

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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.