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Finding the Fourth Proportional to 160.49, 221.54 and 95.00

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Solution

The fourth proportional to 160.49, 221.54 and 95.00 is: 131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.49 : 221.54 = 95.00 : x
  2. Step 2: Convert to fraction form
    160.49/221.54 = 95.00/x
  3. Step 3: Cross multiply
    160.49x = 221.54 × 95.00
  4. Step 4: Simplify right side
    160.49x = 21,044.72
  5. Step 5: Solve for x
    x = 21,044.72/160.49
  6. Step 6: Final answer
    x = 131.13

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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.