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Finding the Fourth Proportional to 208.24, 310.01 and 207.03

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Solution

The fourth proportional to 208.24, 310.01 and 207.03 is: 308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.24 : 310.01 = 207.03 : x
  2. Step 2: Convert to fraction form
    208.24/310.01 = 207.03/x
  3. Step 3: Cross multiply
    208.24x = 310.01 × 207.03
  4. Step 4: Simplify right side
    208.24x = 64,181.37
  5. Step 5: Solve for x
    x = 64,181.37/208.24
  6. Step 6: Final answer
    x = 308.21

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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.