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Finding the Fourth Proportional to 205.07, 307.64 and 68.15

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Solution

The fourth proportional to 205.07, 307.64 and 68.15 is: 102.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.07 : 307.64 = 68.15 : x
  2. Step 2: Convert to fraction form
    205.07/307.64 = 68.15/x
  3. Step 3: Cross multiply
    205.07x = 307.64 × 68.15
  4. Step 4: Simplify right side
    205.07x = 20,966.61
  5. Step 5: Solve for x
    x = 20,966.61/205.07
  6. Step 6: Final answer
    x = 102.24

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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.