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Finding the Fourth Proportional to 237.65, 356.42 and 107.51

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Solution

The fourth proportional to 237.65, 356.42 and 107.51 is: 161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.65 : 356.42 = 107.51 : x
  2. Step 2: Convert to fraction form
    237.65/356.42 = 107.51/x
  3. Step 3: Cross multiply
    237.65x = 356.42 × 107.51
  4. Step 4: Simplify right side
    237.65x = 38,317.20
  5. Step 5: Solve for x
    x = 38,317.20/237.65
  6. Step 6: Final answer
    x = 161.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.