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Finding the Fourth Proportional to 177.21, 264.71 and 162.09

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Solution

The fourth proportional to 177.21, 264.71 and 162.09 is: 242.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.21 : 264.71 = 162.09 : x
  2. Step 2: Convert to fraction form
    177.21/264.71 = 162.09/x
  3. Step 3: Cross multiply
    177.21x = 264.71 × 162.09
  4. Step 4: Simplify right side
    177.21x = 42,907.25
  5. Step 5: Solve for x
    x = 42,907.25/177.21
  6. Step 6: Final answer
    x = 242.13

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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.