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Finding the Fourth Proportional to 177.45, 264.93 and 166.51

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Solution

The fourth proportional to 177.45, 264.93 and 166.51 is: 248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.45 : 264.93 = 166.51 : x
  2. Step 2: Convert to fraction form
    177.45/264.93 = 166.51/x
  3. Step 3: Cross multiply
    177.45x = 264.93 × 166.51
  4. Step 4: Simplify right side
    177.45x = 44,113.49
  5. Step 5: Solve for x
    x = 44,113.49/177.45
  6. Step 6: Final answer
    x = 248.60

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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.