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Finding the Fourth Proportional to 235.56, 325.14 and 148.20

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Solution

The fourth proportional to 235.56, 325.14 and 148.20 is: 204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.56 : 325.14 = 148.20 : x
  2. Step 2: Convert to fraction form
    235.56/325.14 = 148.20/x
  3. Step 3: Cross multiply
    235.56x = 325.14 × 148.20
  4. Step 4: Simplify right side
    235.56x = 48,185.75
  5. Step 5: Solve for x
    x = 48,185.75/235.56
  6. Step 6: Final answer
    x = 204.56

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Why These Related Problems?

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