Home / 177.24-243.16-166.20

Finding the Fourth Proportional to 177.24, 243.16 and 166.20

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Solution

The fourth proportional to 177.24, 243.16 and 166.20 is: 228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.24 : 243.16 = 166.20 : x
  2. Step 2: Convert to fraction form
    177.24/243.16 = 166.20/x
  3. Step 3: Cross multiply
    177.24x = 243.16 × 166.20
  4. Step 4: Simplify right side
    177.24x = 40,413.19
  5. Step 5: Solve for x
    x = 40,413.19/177.24
  6. Step 6: Final answer
    x = 228.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.