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Finding the Fourth Proportional to 342.43, 509.90 and 333.72

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Solution

The fourth proportional to 342.43, 509.90 and 333.72 is: 496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.43 : 509.90 = 333.72 : x
  2. Step 2: Convert to fraction form
    342.43/509.90 = 333.72/x
  3. Step 3: Cross multiply
    342.43x = 509.90 × 333.72
  4. Step 4: Simplify right side
    342.43x = 170,162.16
  5. Step 5: Solve for x
    x = 170,162.16/342.43
  6. Step 6: Final answer
    x = 496.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.