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Finding the Fourth Proportional to 177.90, 265.35 and 162.18

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Solution

The fourth proportional to 177.90, 265.35 and 162.18 is: 241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.90 : 265.35 = 162.18 : x
  2. Step 2: Convert to fraction form
    177.90/265.35 = 162.18/x
  3. Step 3: Cross multiply
    177.90x = 265.35 × 162.18
  4. Step 4: Simplify right side
    177.90x = 43,034.46
  5. Step 5: Solve for x
    x = 43,034.46/177.90
  6. Step 6: Final answer
    x = 241.90

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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.