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Finding the Fourth Proportional to 223.06, 332.30 and 210.64

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Solution

The fourth proportional to 223.06, 332.30 and 210.64 is: 313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.06 : 332.30 = 210.64 : x
  2. Step 2: Convert to fraction form
    223.06/332.30 = 210.64/x
  3. Step 3: Cross multiply
    223.06x = 332.30 × 210.64
  4. Step 4: Simplify right side
    223.06x = 69,995.67
  5. Step 5: Solve for x
    x = 69,995.67/223.06
  6. Step 6: Final answer
    x = 313.80

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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.