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Finding the Fourth Proportional to 281.16, 420.85 and 178.08

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Solution

The fourth proportional to 281.16, 420.85 and 178.08 is: 266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.16 : 420.85 = 178.08 : x
  2. Step 2: Convert to fraction form
    281.16/420.85 = 178.08/x
  3. Step 3: Cross multiply
    281.16x = 420.85 × 178.08
  4. Step 4: Simplify right side
    281.16x = 74,944.97
  5. Step 5: Solve for x
    x = 74,944.97/281.16
  6. Step 6: Final answer
    x = 266.56

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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.