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Finding the Fourth Proportional to 297.15, 410.08 and 179.13

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Solution

The fourth proportional to 297.15, 410.08 and 179.13 is: 247.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.15 : 410.08 = 179.13 : x
  2. Step 2: Convert to fraction form
    297.15/410.08 = 179.13/x
  3. Step 3: Cross multiply
    297.15x = 410.08 × 179.13
  4. Step 4: Simplify right side
    297.15x = 73,457.63
  5. Step 5: Solve for x
    x = 73,457.63/297.15
  6. Step 6: Final answer
    x = 247.21

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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.