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Finding the Fourth Proportional to 178.39, 266.06 and 175.15

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Solution

The fourth proportional to 178.39, 266.06 and 175.15 is: 261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.39 : 266.06 = 175.15 : x
  2. Step 2: Convert to fraction form
    178.39/266.06 = 175.15/x
  3. Step 3: Cross multiply
    178.39x = 266.06 × 175.15
  4. Step 4: Simplify right side
    178.39x = 46,600.41
  5. Step 5: Solve for x
    x = 46,600.41/178.39
  6. Step 6: Final answer
    x = 261.23

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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.