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Finding the Fourth Proportional to 463.36, 693.60 and 246.40

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Solution

The fourth proportional to 463.36, 693.60 and 246.40 is: 368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.36 : 693.60 = 246.40 : x
  2. Step 2: Convert to fraction form
    463.36/693.60 = 246.40/x
  3. Step 3: Cross multiply
    463.36x = 693.60 × 246.40
  4. Step 4: Simplify right side
    463.36x = 170,903.04
  5. Step 5: Solve for x
    x = 170,903.04/463.36
  6. Step 6: Final answer
    x = 368.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.