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Finding the Fourth Proportional to 177.65, 264.96 and 163.07

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Solution

The fourth proportional to 177.65, 264.96 and 163.07 is: 243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.65 : 264.96 = 163.07 : x
  2. Step 2: Convert to fraction form
    177.65/264.96 = 163.07/x
  3. Step 3: Cross multiply
    177.65x = 264.96 × 163.07
  4. Step 4: Simplify right side
    177.65x = 43,206.21
  5. Step 5: Solve for x
    x = 43,206.21/177.65
  6. Step 6: Final answer
    x = 243.21

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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.