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Finding the Fourth Proportional to 221.88, 330.47 and 210.31

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Solution

The fourth proportional to 221.88, 330.47 and 210.31 is: 313.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.88 : 330.47 = 210.31 : x
  2. Step 2: Convert to fraction form
    221.88/330.47 = 210.31/x
  3. Step 3: Cross multiply
    221.88x = 330.47 × 210.31
  4. Step 4: Simplify right side
    221.88x = 69,501.15
  5. Step 5: Solve for x
    x = 69,501.15/221.88
  6. Step 6: Final answer
    x = 313.24

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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.