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Finding the Fourth Proportional to 342.35, 474.87 and 330.06

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Solution

The fourth proportional to 342.35, 474.87 and 330.06 is: 457.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.35 : 474.87 = 330.06 : x
  2. Step 2: Convert to fraction form
    342.35/474.87 = 330.06/x
  3. Step 3: Cross multiply
    342.35x = 474.87 × 330.06
  4. Step 4: Simplify right side
    342.35x = 156,735.59
  5. Step 5: Solve for x
    x = 156,735.59/342.35
  6. Step 6: Final answer
    x = 457.82

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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.