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Finding the Fourth Proportional to 180.21, 268.89 and 176.06

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Solution

The fourth proportional to 180.21, 268.89 and 176.06 is: 262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.21 : 268.89 = 176.06 : x
  2. Step 2: Convert to fraction form
    180.21/268.89 = 176.06/x
  3. Step 3: Cross multiply
    180.21x = 268.89 × 176.06
  4. Step 4: Simplify right side
    180.21x = 47,340.77
  5. Step 5: Solve for x
    x = 47,340.77/180.21
  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.