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Finding the Fourth Proportional to 177.50, 264.75 and 174.43

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Solution

The fourth proportional to 177.50, 264.75 and 174.43 is: 260.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.50 : 264.75 = 174.43 : x
  2. Step 2: Convert to fraction form
    177.50/264.75 = 174.43/x
  3. Step 3: Cross multiply
    177.50x = 264.75 × 174.43
  4. Step 4: Simplify right side
    177.50x = 46,178.15
  5. Step 5: Solve for x
    x = 46,178.15/177.50
  6. Step 6: Final answer
    x = 260.16

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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.