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Finding the Fourth Proportional to 208.32, 310.26 and 207.11

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Solution

The fourth proportional to 208.32, 310.26 and 207.11 is: 308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.32 : 310.26 = 207.11 : x
  2. Step 2: Convert to fraction form
    208.32/310.26 = 207.11/x
  3. Step 3: Cross multiply
    208.32x = 310.26 × 207.11
  4. Step 4: Simplify right side
    208.32x = 64,256.40
  5. Step 5: Solve for x
    x = 64,256.40/208.32
  6. Step 6: Final answer
    x = 308.45

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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.