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Finding the Fourth Proportional to 207.21, 309.30 and 192.20

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Solution

The fourth proportional to 207.21, 309.30 and 192.20 is: 286.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.21 : 309.30 = 192.20 : x
  2. Step 2: Convert to fraction form
    207.21/309.30 = 192.20/x
  3. Step 3: Cross multiply
    207.21x = 309.30 × 192.20
  4. Step 4: Simplify right side
    207.21x = 59,445.91
  5. Step 5: Solve for x
    x = 59,445.91/207.21
  6. Step 6: Final answer
    x = 286.89

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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.