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Finding the Fourth Proportional to 160.53, 220.78 and 139.83

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Solution

The fourth proportional to 160.53, 220.78 and 139.83 is: 192.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.53 : 220.78 = 139.83 : x
  2. Step 2: Convert to fraction form
    160.53/220.78 = 139.83/x
  3. Step 3: Cross multiply
    160.53x = 220.78 × 139.83
  4. Step 4: Simplify right side
    160.53x = 30,870.23
  5. Step 5: Solve for x
    x = 30,870.23/160.53
  6. Step 6: Final answer
    x = 192.30

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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.