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Finding the Fourth Proportional to 219.40, 328.42 and 180.25

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Solution

The fourth proportional to 219.40, 328.42 and 180.25 is: 269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.40 : 328.42 = 180.25 : x
  2. Step 2: Convert to fraction form
    219.40/328.42 = 180.25/x
  3. Step 3: Cross multiply
    219.40x = 328.42 × 180.25
  4. Step 4: Simplify right side
    219.40x = 59,197.71
  5. Step 5: Solve for x
    x = 59,197.71/219.40
  6. Step 6: Final answer
    x = 269.82

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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.