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Finding the Fourth Proportional to 180.55, 268.90 and 174.17

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Solution

The fourth proportional to 180.55, 268.90 and 174.17 is: 259.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.55 : 268.90 = 174.17 : x
  2. Step 2: Convert to fraction form
    180.55/268.90 = 174.17/x
  3. Step 3: Cross multiply
    180.55x = 268.90 × 174.17
  4. Step 4: Simplify right side
    180.55x = 46,834.31
  5. Step 5: Solve for x
    x = 46,834.31/180.55
  6. Step 6: Final answer
    x = 259.40

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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.