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Finding the Fourth Proportional to 237.48, 356.11 and 120.28

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Solution

The fourth proportional to 237.48, 356.11 and 120.28 is: 180.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.48 : 356.11 = 120.28 : x
  2. Step 2: Convert to fraction form
    237.48/356.11 = 120.28/x
  3. Step 3: Cross multiply
    237.48x = 356.11 × 120.28
  4. Step 4: Simplify right side
    237.48x = 42,831.13
  5. Step 5: Solve for x
    x = 42,831.13/237.48
  6. Step 6: Final answer
    x = 180.36

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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.