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Finding the Fourth Proportional to 160.88, 239.71 and 143.84

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Solution

The fourth proportional to 160.88, 239.71 and 143.84 is: 214.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.88 : 239.71 = 143.84 : x
  2. Step 2: Convert to fraction form
    160.88/239.71 = 143.84/x
  3. Step 3: Cross multiply
    160.88x = 239.71 × 143.84
  4. Step 4: Simplify right side
    160.88x = 34,479.89
  5. Step 5: Solve for x
    x = 34,479.89/160.88
  6. Step 6: Final answer
    x = 214.32

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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.