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Finding the Fourth Proportional to 219.18, 328.74 and 89.19

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Solution

The fourth proportional to 219.18, 328.74 and 89.19 is: 133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.18 : 328.74 = 89.19 : x
  2. Step 2: Convert to fraction form
    219.18/328.74 = 89.19/x
  3. Step 3: Cross multiply
    219.18x = 328.74 × 89.19
  4. Step 4: Simplify right side
    219.18x = 29,320.32
  5. Step 5: Solve for x
    x = 29,320.32/219.18
  6. Step 6: Final answer
    x = 133.77

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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.