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Finding the Fourth Proportional to 235.41, 324.85 and 130.49

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Solution

The fourth proportional to 235.41, 324.85 and 130.49 is: 180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.41 : 324.85 = 130.49 : x
  2. Step 2: Convert to fraction form
    235.41/324.85 = 130.49/x
  3. Step 3: Cross multiply
    235.41x = 324.85 × 130.49
  4. Step 4: Simplify right side
    235.41x = 42,389.68
  5. Step 5: Solve for x
    x = 42,389.68/235.41
  6. Step 6: Final answer
    x = 180.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.