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Finding the Fourth Proportional to 177.99, 265.42 and 164.76

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Solution

The fourth proportional to 177.99, 265.42 and 164.76 is: 245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.99 : 265.42 = 164.76 : x
  2. Step 2: Convert to fraction form
    177.99/265.42 = 164.76/x
  3. Step 3: Cross multiply
    177.99x = 265.42 × 164.76
  4. Step 4: Simplify right side
    177.99x = 43,730.60
  5. Step 5: Solve for x
    x = 43,730.60/177.99
  6. Step 6: Final answer
    x = 245.69

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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.