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Finding the Fourth Proportional to 160.45, 221.40 and 90.50

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Solution

The fourth proportional to 160.45, 221.40 and 90.50 is: 124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.45 : 221.40 = 90.50 : x
  2. Step 2: Convert to fraction form
    160.45/221.40 = 90.50/x
  3. Step 3: Cross multiply
    160.45x = 221.40 × 90.50
  4. Step 4: Simplify right side
    160.45x = 20,035.14
  5. Step 5: Solve for x
    x = 20,035.14/160.45
  6. Step 6: Final answer
    x = 124.87

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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.