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Finding the Fourth Proportional to 351.95, 527.72 and 178.40

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Solution

The fourth proportional to 351.95, 527.72 and 178.40 is: 267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.95 : 527.72 = 178.40 : x
  2. Step 2: Convert to fraction form
    351.95/527.72 = 178.40/x
  3. Step 3: Cross multiply
    351.95x = 527.72 × 178.40
  4. Step 4: Simplify right side
    351.95x = 94,145.68
  5. Step 5: Solve for x
    x = 94,145.68/351.95
  6. Step 6: Final answer
    x = 267.50

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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.