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Finding the Fourth Proportional to 219.15, 328.57 and 110.86

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Solution

The fourth proportional to 219.15, 328.57 and 110.86 is: 166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.15 : 328.57 = 110.86 : x
  2. Step 2: Convert to fraction form
    219.15/328.57 = 110.86/x
  3. Step 3: Cross multiply
    219.15x = 328.57 × 110.86
  4. Step 4: Simplify right side
    219.15x = 36,424.17
  5. Step 5: Solve for x
    x = 36,424.17/219.15
  6. Step 6: Final answer
    x = 166.21

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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.