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Finding the Fourth Proportional to 466.58, 642.20 and 342.05

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Solution

The fourth proportional to 466.58, 642.20 and 342.05 is: 470.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.58 : 642.20 = 342.05 : x
  2. Step 2: Convert to fraction form
    466.58/642.20 = 342.05/x
  3. Step 3: Cross multiply
    466.58x = 642.20 × 342.05
  4. Step 4: Simplify right side
    466.58x = 219,659.59
  5. Step 5: Solve for x
    x = 219,659.59/466.58
  6. Step 6: Final answer
    x = 470.78

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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.