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Finding the Fourth Proportional to 216.48, 296.52 and 209.28

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Solution

The fourth proportional to 216.48, 296.52 and 209.28 is: 286.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.48 : 296.52 = 209.28 : x
  2. Step 2: Convert to fraction form
    216.48/296.52 = 209.28/x
  3. Step 3: Cross multiply
    216.48x = 296.52 × 209.28
  4. Step 4: Simplify right side
    216.48x = 62,055.71
  5. Step 5: Solve for x
    x = 62,055.71/216.48
  6. Step 6: Final answer
    x = 286.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.