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Finding the Fourth Proportional to 205, 307.16 and 139.98

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Solution

The fourth proportional to 205, 307.16 and 139.98 is: 209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205 : 307.16 = 139.98 : x
  2. Step 2: Convert to fraction form
    205/307.16 = 139.98/x
  3. Step 3: Cross multiply
    205x = 307.16 × 139.98
  4. Step 4: Simplify right side
    205x = 42,996.26
  5. Step 5: Solve for x
    x = 42,996.26/205
  6. Step 6: Final answer
    x = 209.74

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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.