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Finding the Fourth Proportional to 207.68, 308.88 and 203.36

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Solution

The fourth proportional to 207.68, 308.88 and 203.36 is: 302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.68 : 308.88 = 203.36 : x
  2. Step 2: Convert to fraction form
    207.68/308.88 = 203.36/x
  3. Step 3: Cross multiply
    207.68x = 308.88 × 203.36
  4. Step 4: Simplify right side
    207.68x = 62,813.84
  5. Step 5: Solve for x
    x = 62,813.84/207.68
  6. Step 6: Final answer
    x = 302.45

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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.