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Finding the Fourth Proportional to 177.03, 264.28 and 149.68

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Solution

The fourth proportional to 177.03, 264.28 and 149.68 is: 223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.03 : 264.28 = 149.68 : x
  2. Step 2: Convert to fraction form
    177.03/264.28 = 149.68/x
  3. Step 3: Cross multiply
    177.03x = 264.28 × 149.68
  4. Step 4: Simplify right side
    177.03x = 39,557.43
  5. Step 5: Solve for x
    x = 39,557.43/177.03
  6. Step 6: Final answer
    x = 223.45

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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.