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Finding the Fourth Proportional to 225.16, 339.67 and 213.76

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Solution

The fourth proportional to 225.16, 339.67 and 213.76 is: 322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.16 : 339.67 = 213.76 : x
  2. Step 2: Convert to fraction form
    225.16/339.67 = 213.76/x
  3. Step 3: Cross multiply
    225.16x = 339.67 × 213.76
  4. Step 4: Simplify right side
    225.16x = 72,607.86
  5. Step 5: Solve for x
    x = 72,607.86/225.16
  6. Step 6: Final answer
    x = 322.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.