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Finding the Fourth Proportional to 160.02, 239.84 and 73.23

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Solution

The fourth proportional to 160.02, 239.84 and 73.23 is: 109.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.02 : 239.84 = 73.23 : x
  2. Step 2: Convert to fraction form
    160.02/239.84 = 73.23/x
  3. Step 3: Cross multiply
    160.02x = 239.84 × 73.23
  4. Step 4: Simplify right side
    160.02x = 17,563.42
  5. Step 5: Solve for x
    x = 17,563.42/160.02
  6. Step 6: Final answer
    x = 109.76

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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.