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Finding the Fourth Proportional to 207.02, 309.76 and 163.35

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Solution

The fourth proportional to 207.02, 309.76 and 163.35 is: 244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.02 : 309.76 = 163.35 : x
  2. Step 2: Convert to fraction form
    207.02/309.76 = 163.35/x
  3. Step 3: Cross multiply
    207.02x = 309.76 × 163.35
  4. Step 4: Simplify right side
    207.02x = 50,598.89
  5. Step 5: Solve for x
    x = 50,598.89/207.02
  6. Step 6: Final answer
    x = 244.41

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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.