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Finding the Fourth Proportional to 143.64, 214.08 and 139.80

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Solution

The fourth proportional to 143.64, 214.08 and 139.80 is: 208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.64 : 214.08 = 139.80 : x
  2. Step 2: Convert to fraction form
    143.64/214.08 = 139.80/x
  3. Step 3: Cross multiply
    143.64x = 214.08 × 139.80
  4. Step 4: Simplify right side
    143.64x = 29,928.38
  5. Step 5: Solve for x
    x = 29,928.38/143.64
  6. Step 6: Final answer
    x = 208.36

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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.