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Finding the Fourth Proportional to 303.42, 418.70 and 172.43

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Solution

The fourth proportional to 303.42, 418.70 and 172.43 is: 237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.42 : 418.70 = 172.43 : x
  2. Step 2: Convert to fraction form
    303.42/418.70 = 172.43/x
  3. Step 3: Cross multiply
    303.42x = 418.70 × 172.43
  4. Step 4: Simplify right side
    303.42x = 72,193.49
  5. Step 5: Solve for x
    x = 72,193.49/303.42
  6. Step 6: Final answer
    x = 237.93

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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.