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Finding the Fourth Proportional to 160.17, 240.17 and 73.44

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Solution

The fourth proportional to 160.17, 240.17 and 73.44 is: 110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.17 : 240.17 = 73.44 : x
  2. Step 2: Convert to fraction form
    160.17/240.17 = 73.44/x
  3. Step 3: Cross multiply
    160.17x = 240.17 × 73.44
  4. Step 4: Simplify right side
    160.17x = 17,638.08
  5. Step 5: Solve for x
    x = 17,638.08/160.17
  6. Step 6: Final answer
    x = 110.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.