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Finding the Fourth Proportional to 180.08, 268.43 and 178.46

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Solution

The fourth proportional to 180.08, 268.43 and 178.46 is: 266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.08 : 268.43 = 178.46 : x
  2. Step 2: Convert to fraction form
    180.08/268.43 = 178.46/x
  3. Step 3: Cross multiply
    180.08x = 268.43 × 178.46
  4. Step 4: Simplify right side
    180.08x = 47,904.02
  5. Step 5: Solve for x
    x = 47,904.02/180.08
  6. Step 6: Final answer
    x = 266.02

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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.