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Finding the Fourth Proportional to 181.40, 271.56 and 148.52

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Solution

The fourth proportional to 181.40, 271.56 and 148.52 is: 222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.40 : 271.56 = 148.52 : x
  2. Step 2: Convert to fraction form
    181.40/271.56 = 148.52/x
  3. Step 3: Cross multiply
    181.40x = 271.56 × 148.52
  4. Step 4: Simplify right side
    181.40x = 40,332.09
  5. Step 5: Solve for x
    x = 40,332.09/181.40
  6. Step 6: Final answer
    x = 222.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.