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Finding the Fourth Proportional to 177.12, 266.90 and 175.64

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Solution

The fourth proportional to 177.12, 266.90 and 175.64 is: 264.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.12 : 266.90 = 175.64 : x
  2. Step 2: Convert to fraction form
    177.12/266.90 = 175.64/x
  3. Step 3: Cross multiply
    177.12x = 266.90 × 175.64
  4. Step 4: Simplify right side
    177.12x = 46,876.10
  5. Step 5: Solve for x
    x = 46,876.10/177.12
  6. Step 6: Final answer
    x = 264.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.