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Finding the Fourth Proportional to 216.24, 296.27 and 213.35

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Solution

The fourth proportional to 216.24, 296.27 and 213.35 is: 292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.24 : 296.27 = 213.35 : x
  2. Step 2: Convert to fraction form
    216.24/296.27 = 213.35/x
  3. Step 3: Cross multiply
    216.24x = 296.27 × 213.35
  4. Step 4: Simplify right side
    216.24x = 63,210.32
  5. Step 5: Solve for x
    x = 63,210.32/216.24
  6. Step 6: Final answer
    x = 292.32

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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.