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Finding the Fourth Proportional to 175.78, 261.95 and 170.50

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Solution

The fourth proportional to 175.78, 261.95 and 170.50 is: 254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.78 : 261.95 = 170.50 : x
  2. Step 2: Convert to fraction form
    175.78/261.95 = 170.50/x
  3. Step 3: Cross multiply
    175.78x = 261.95 × 170.50
  4. Step 4: Simplify right side
    175.78x = 44,661.68
  5. Step 5: Solve for x
    x = 44,661.68/175.78
  6. Step 6: Final answer
    x = 254.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.