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Finding the Fourth Proportional to 209.42, 288.88 and 139.48

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Solution

The fourth proportional to 209.42, 288.88 and 139.48 is: 192.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.42 : 288.88 = 139.48 : x
  2. Step 2: Convert to fraction form
    209.42/288.88 = 139.48/x
  3. Step 3: Cross multiply
    209.42x = 288.88 × 139.48
  4. Step 4: Simplify right side
    209.42x = 40,292.98
  5. Step 5: Solve for x
    x = 40,292.98/209.42
  6. Step 6: Final answer
    x = 192.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.