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Finding the Fourth Proportional to 425.16, 636.78 and 208.32

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Solution

The fourth proportional to 425.16, 636.78 and 208.32 is: 312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.16 : 636.78 = 208.32 : x
  2. Step 2: Convert to fraction form
    425.16/636.78 = 208.32/x
  3. Step 3: Cross multiply
    425.16x = 636.78 × 208.32
  4. Step 4: Simplify right side
    425.16x = 132,654.01
  5. Step 5: Solve for x
    x = 132,654.01/425.16
  6. Step 6: Final answer
    x = 312.01

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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.