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Finding the Fourth Proportional to 221.32, 302.96 and 214.30

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Solution

The fourth proportional to 221.32, 302.96 and 214.30 is: 293.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.32 : 302.96 = 214.30 : x
  2. Step 2: Convert to fraction form
    221.32/302.96 = 214.30/x
  3. Step 3: Cross multiply
    221.32x = 302.96 × 214.30
  4. Step 4: Simplify right side
    221.32x = 64,924.33
  5. Step 5: Solve for x
    x = 64,924.33/221.32
  6. Step 6: Final answer
    x = 293.35

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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.