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Finding the Fourth Proportional to 220.71, 328.95 and 214.95

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Solution

The fourth proportional to 220.71, 328.95 and 214.95 is: 320.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.71 : 328.95 = 214.95 : x
  2. Step 2: Convert to fraction form
    220.71/328.95 = 214.95/x
  3. Step 3: Cross multiply
    220.71x = 328.95 × 214.95
  4. Step 4: Simplify right side
    220.71x = 70,707.80
  5. Step 5: Solve for x
    x = 70,707.80/220.71
  6. Step 6: Final answer
    x = 320.37

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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.