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Finding the Fourth Proportional to 181.47, 268.50 and 180.93

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Solution

The fourth proportional to 181.47, 268.50 and 180.93 is: 267.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.47 : 268.50 = 180.93 : x
  2. Step 2: Convert to fraction form
    181.47/268.50 = 180.93/x
  3. Step 3: Cross multiply
    181.47x = 268.50 × 180.93
  4. Step 4: Simplify right side
    181.47x = 48,579.71
  5. Step 5: Solve for x
    x = 48,579.71/181.47
  6. Step 6: Final answer
    x = 267.70

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.