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Finding the Fourth Proportional to 160.24, 240.40 and 74.80

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Solution

The fourth proportional to 160.24, 240.40 and 74.80 is: 112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.24 : 240.40 = 74.80 : x
  2. Step 2: Convert to fraction form
    160.24/240.40 = 74.80/x
  3. Step 3: Cross multiply
    160.24x = 240.40 × 74.80
  4. Step 4: Simplify right side
    160.24x = 17,981.92
  5. Step 5: Solve for x
    x = 17,981.92/160.24
  6. Step 6: Final answer
    x = 112.22

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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.