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Finding the Fourth Proportional to 207.64, 309.74 and 192.79

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Solution

The fourth proportional to 207.64, 309.74 and 192.79 is: 287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.64 : 309.74 = 192.79 : x
  2. Step 2: Convert to fraction form
    207.64/309.74 = 192.79/x
  3. Step 3: Cross multiply
    207.64x = 309.74 × 192.79
  4. Step 4: Simplify right side
    207.64x = 59,714.77
  5. Step 5: Solve for x
    x = 59,714.77/207.64
  6. Step 6: Final answer
    x = 287.59

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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.