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Finding the Fourth Proportional to 193.79, 267.50 and 152.43

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Solution

The fourth proportional to 193.79, 267.50 and 152.43 is: 210.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.79 : 267.50 = 152.43 : x
  2. Step 2: Convert to fraction form
    193.79/267.50 = 152.43/x
  3. Step 3: Cross multiply
    193.79x = 267.50 × 152.43
  4. Step 4: Simplify right side
    193.79x = 40,775.91
  5. Step 5: Solve for x
    x = 40,775.91/193.79
  6. Step 6: Final answer
    x = 210.41

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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.