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Finding the Fourth Proportional to 207.36, 309.29 and 178.13

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Solution

The fourth proportional to 207.36, 309.29 and 178.13 is: 265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.36 : 309.29 = 178.13 : x
  2. Step 2: Convert to fraction form
    207.36/309.29 = 178.13/x
  3. Step 3: Cross multiply
    207.36x = 309.29 × 178.13
  4. Step 4: Simplify right side
    207.36x = 55,093.71
  5. Step 5: Solve for x
    x = 55,093.71/207.36
  6. Step 6: Final answer
    x = 265.69

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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.