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Finding the Fourth Proportional to 177.58, 264.88 and 174.88

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Solution

The fourth proportional to 177.58, 264.88 and 174.88 is: 260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.58 : 264.88 = 174.88 : x
  2. Step 2: Convert to fraction form
    177.58/264.88 = 174.88/x
  3. Step 3: Cross multiply
    177.58x = 264.88 × 174.88
  4. Step 4: Simplify right side
    177.58x = 46,322.21
  5. Step 5: Solve for x
    x = 46,322.21/177.58
  6. Step 6: Final answer
    x = 260.85

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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.