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Finding the Fourth Proportional to 176.40, 262.89 and 157.14

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Solution

The fourth proportional to 176.40, 262.89 and 157.14 is: 234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.40 : 262.89 = 157.14 : x
  2. Step 2: Convert to fraction form
    176.40/262.89 = 157.14/x
  3. Step 3: Cross multiply
    176.40x = 262.89 × 157.14
  4. Step 4: Simplify right side
    176.40x = 41,310.53
  5. Step 5: Solve for x
    x = 41,310.53/176.40
  6. Step 6: Final answer
    x = 234.19

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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.