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Finding the Fourth Proportional to 207.32, 284.58 and 188.79

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Solution

The fourth proportional to 207.32, 284.58 and 188.79 is: 259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.32 : 284.58 = 188.79 : x
  2. Step 2: Convert to fraction form
    207.32/284.58 = 188.79/x
  3. Step 3: Cross multiply
    207.32x = 284.58 × 188.79
  4. Step 4: Simplify right side
    207.32x = 53,725.86
  5. Step 5: Solve for x
    x = 53,725.86/207.32
  6. Step 6: Final answer
    x = 259.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.