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Finding the Fourth Proportional to 143.84, 198.31 and 117.58

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Solution

The fourth proportional to 143.84, 198.31 and 117.58 is: 162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.84 : 198.31 = 117.58 : x
  2. Step 2: Convert to fraction form
    143.84/198.31 = 117.58/x
  3. Step 3: Cross multiply
    143.84x = 198.31 × 117.58
  4. Step 4: Simplify right side
    143.84x = 23,316.21
  5. Step 5: Solve for x
    x = 23,316.21/143.84
  6. Step 6: Final answer
    x = 162.10

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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.