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Finding the Fourth Proportional to 237.28, 325.07 and 229.06

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Solution

The fourth proportional to 237.28, 325.07 and 229.06 is: 313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.28 : 325.07 = 229.06 : x
  2. Step 2: Convert to fraction form
    237.28/325.07 = 229.06/x
  3. Step 3: Cross multiply
    237.28x = 325.07 × 229.06
  4. Step 4: Simplify right side
    237.28x = 74,460.53
  5. Step 5: Solve for x
    x = 74,460.53/237.28
  6. Step 6: Final answer
    x = 313.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.