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Finding the Fourth Proportional to 297.16, 410.05 and 172.84

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Solution

The fourth proportional to 297.16, 410.05 and 172.84 is: 238.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.16 : 410.05 = 172.84 : x
  2. Step 2: Convert to fraction form
    297.16/410.05 = 172.84/x
  3. Step 3: Cross multiply
    297.16x = 410.05 × 172.84
  4. Step 4: Simplify right side
    297.16x = 70,873.04
  5. Step 5: Solve for x
    x = 70,873.04/297.16
  6. Step 6: Final answer
    x = 238.50

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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.