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Finding the Fourth Proportional to 185.68, 277.14 and 139.81

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Solution

The fourth proportional to 185.68, 277.14 and 139.81 is: 208.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.68 : 277.14 = 139.81 : x
  2. Step 2: Convert to fraction form
    185.68/277.14 = 139.81/x
  3. Step 3: Cross multiply
    185.68x = 277.14 × 139.81
  4. Step 4: Simplify right side
    185.68x = 38,746.51
  5. Step 5: Solve for x
    x = 38,746.51/185.68
  6. Step 6: Final answer
    x = 208.68

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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.