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Finding the Fourth Proportional to 297.17, 409.67 and 186.60

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Solution

The fourth proportional to 297.17, 409.67 and 186.60 is: 257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.17 : 409.67 = 186.60 : x
  2. Step 2: Convert to fraction form
    297.17/409.67 = 186.60/x
  3. Step 3: Cross multiply
    297.17x = 409.67 × 186.60
  4. Step 4: Simplify right side
    297.17x = 76,444.42
  5. Step 5: Solve for x
    x = 76,444.42/297.17
  6. Step 6: Final answer
    x = 257.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.