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Finding the Fourth Proportional to 355.12, 532.44 and 160

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Solution

The fourth proportional to 355.12, 532.44 and 160 is: 239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.12 : 532.44 = 160 : x
  2. Step 2: Convert to fraction form
    355.12/532.44 = 160/x
  3. Step 3: Cross multiply
    355.12x = 532.44 × 160
  4. Step 4: Simplify right side
    355.12x = 85,190.40
  5. Step 5: Solve for x
    x = 85,190.40/355.12
  6. Step 6: Final answer
    x = 239.89

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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.