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Finding the Fourth Proportional to 216.40, 328.28 and 216.40

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Solution

The fourth proportional to 216.40, 328.28 and 216.40 is: 328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.40 : 328.28 = 216.40 : x
  2. Step 2: Convert to fraction form
    216.40/328.28 = 216.40/x
  3. Step 3: Cross multiply
    216.40x = 328.28 × 216.40
  4. Step 4: Simplify right side
    216.40x = 71,039.79
  5. Step 5: Solve for x
    x = 71,039.79/216.40
  6. Step 6: Final answer
    x = 328.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.