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Finding the Fourth Proportional to 207.66, 312.74 and 175.37

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Solution

The fourth proportional to 207.66, 312.74 and 175.37 is: 264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.66 : 312.74 = 175.37 : x
  2. Step 2: Convert to fraction form
    207.66/312.74 = 175.37/x
  3. Step 3: Cross multiply
    207.66x = 312.74 × 175.37
  4. Step 4: Simplify right side
    207.66x = 54,844.42
  5. Step 5: Solve for x
    x = 54,844.42/207.66
  6. Step 6: Final answer
    x = 264.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.