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Finding the Fourth Proportional to 219.86, 328.22 and 188.90

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Solution

The fourth proportional to 219.86, 328.22 and 188.90 is: 282.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.86 : 328.22 = 188.90 : x
  2. Step 2: Convert to fraction form
    219.86/328.22 = 188.90/x
  3. Step 3: Cross multiply
    219.86x = 328.22 × 188.90
  4. Step 4: Simplify right side
    219.86x = 62,000.76
  5. Step 5: Solve for x
    x = 62,000.76/219.86
  6. Step 6: Final answer
    x = 282.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.