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Finding the Fourth Proportional to 263.16, 392.51 and 222.30

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Solution

The fourth proportional to 263.16, 392.51 and 222.30 is: 331.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.16 : 392.51 = 222.30 : x
  2. Step 2: Convert to fraction form
    263.16/392.51 = 222.30/x
  3. Step 3: Cross multiply
    263.16x = 392.51 × 222.30
  4. Step 4: Simplify right side
    263.16x = 87,254.97
  5. Step 5: Solve for x
    x = 87,254.97/263.16
  6. Step 6: Final answer
    x = 331.57

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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.