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Finding the Fourth Proportional to 160.84, 219.04 and 157.84

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Solution

The fourth proportional to 160.84, 219.04 and 157.84 is: 214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.84 : 219.04 = 157.84 : x
  2. Step 2: Convert to fraction form
    160.84/219.04 = 157.84/x
  3. Step 3: Cross multiply
    160.84x = 219.04 × 157.84
  4. Step 4: Simplify right side
    160.84x = 34,573.27
  5. Step 5: Solve for x
    x = 34,573.27/160.84
  6. Step 6: Final answer
    x = 214.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.