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Finding the Fourth Proportional to 180.19, 268.88 and 176.05

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Solution

The fourth proportional to 180.19, 268.88 and 176.05 is: 262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.19 : 268.88 = 176.05 : x
  2. Step 2: Convert to fraction form
    180.19/268.88 = 176.05/x
  3. Step 3: Cross multiply
    180.19x = 268.88 × 176.05
  4. Step 4: Simplify right side
    180.19x = 47,336.32
  5. Step 5: Solve for x
    x = 47,336.32/180.19
  6. Step 6: Final answer
    x = 262.70

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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.