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Finding the Fourth Proportional to 342, 474.23 and 330.45

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Solution

The fourth proportional to 342, 474.23 and 330.45 is: 458.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342 : 474.23 = 330.45 : x
  2. Step 2: Convert to fraction form
    342/474.23 = 330.45/x
  3. Step 3: Cross multiply
    342x = 474.23 × 330.45
  4. Step 4: Simplify right side
    342x = 156,707.65
  5. Step 5: Solve for x
    x = 156,707.65/342
  6. Step 6: Final answer
    x = 458.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.