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Finding the Fourth Proportional to 208.16, 313.68 and 203.84

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Solution

The fourth proportional to 208.16, 313.68 and 203.84 is: 307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.16 : 313.68 = 203.84 : x
  2. Step 2: Convert to fraction form
    208.16/313.68 = 203.84/x
  3. Step 3: Cross multiply
    208.16x = 313.68 × 203.84
  4. Step 4: Simplify right side
    208.16x = 63,940.53
  5. Step 5: Solve for x
    x = 63,940.53/208.16
  6. Step 6: Final answer
    x = 307.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.