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Finding the Fourth Proportional to 466.95, 642.68 and 342.41

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Solution

The fourth proportional to 466.95, 642.68 and 342.41 is: 471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.95 : 642.68 = 342.41 : x
  2. Step 2: Convert to fraction form
    466.95/642.68 = 342.41/x
  3. Step 3: Cross multiply
    466.95x = 642.68 × 342.41
  4. Step 4: Simplify right side
    466.95x = 220,055.13
  5. Step 5: Solve for x
    x = 220,055.13/466.95
  6. Step 6: Final answer
    x = 471.26

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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.