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Finding the Fourth Proportional to 232.06, 347.04 and 202.10

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Solution

The fourth proportional to 232.06, 347.04 and 202.10 is: 302.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.06 : 347.04 = 202.10 : x
  2. Step 2: Convert to fraction form
    232.06/347.04 = 202.10/x
  3. Step 3: Cross multiply
    232.06x = 347.04 × 202.10
  4. Step 4: Simplify right side
    232.06x = 70,136.78
  5. Step 5: Solve for x
    x = 70,136.78/232.06
  6. Step 6: Final answer
    x = 302.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.