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Finding the Fourth Proportional to 181.98, 271.80 and 157.68

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Solution

The fourth proportional to 181.98, 271.80 and 157.68 is: 235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.98 : 271.80 = 157.68 : x
  2. Step 2: Convert to fraction form
    181.98/271.80 = 157.68/x
  3. Step 3: Cross multiply
    181.98x = 271.80 × 157.68
  4. Step 4: Simplify right side
    181.98x = 42,857.42
  5. Step 5: Solve for x
    x = 42,857.42/181.98
  6. Step 6: Final answer
    x = 235.51

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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.