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Finding the Fourth Proportional to 414.60, 618.69 and 342.60

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Solution

The fourth proportional to 414.60, 618.69 and 342.60 is: 511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.60 : 618.69 = 342.60 : x
  2. Step 2: Convert to fraction form
    414.60/618.69 = 342.60/x
  3. Step 3: Cross multiply
    414.60x = 618.69 × 342.60
  4. Step 4: Simplify right side
    414.60x = 211,963.19
  5. Step 5: Solve for x
    x = 211,963.19/414.60
  6. Step 6: Final answer
    x = 511.25

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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.