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Finding the Fourth Proportional to 237.32, 357.38 and 207.25

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Solution

The fourth proportional to 237.32, 357.38 and 207.25 is: 312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.32 : 357.38 = 207.25 : x
  2. Step 2: Convert to fraction form
    237.32/357.38 = 207.25/x
  3. Step 3: Cross multiply
    237.32x = 357.38 × 207.25
  4. Step 4: Simplify right side
    237.32x = 74,067.01
  5. Step 5: Solve for x
    x = 74,067.01/237.32
  6. Step 6: Final answer
    x = 312.10

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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.