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Finding the Fourth Proportional to 143.37, 214.14 and 117.55

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Solution

The fourth proportional to 143.37, 214.14 and 117.55 is: 175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.37 : 214.14 = 117.55 : x
  2. Step 2: Convert to fraction form
    143.37/214.14 = 117.55/x
  3. Step 3: Cross multiply
    143.37x = 214.14 × 117.55
  4. Step 4: Simplify right side
    143.37x = 25,172.87
  5. Step 5: Solve for x
    x = 25,172.87/143.37
  6. Step 6: Final answer
    x = 175.58

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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.