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Finding the Fourth Proportional to 207.56, 309.78 and 202.10

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Solution

The fourth proportional to 207.56, 309.78 and 202.10 is: 301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.56 : 309.78 = 202.10 : x
  2. Step 2: Convert to fraction form
    207.56/309.78 = 202.10/x
  3. Step 3: Cross multiply
    207.56x = 309.78 × 202.10
  4. Step 4: Simplify right side
    207.56x = 62,606.54
  5. Step 5: Solve for x
    x = 62,606.54/207.56
  6. Step 6: Final answer
    x = 301.63

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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.