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Finding the Fourth Proportional to 523.12, 722 and 302.22

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Solution

The fourth proportional to 523.12, 722 and 302.22 is: 417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.12 : 722 = 302.22 : x
  2. Step 2: Convert to fraction form
    523.12/722 = 302.22/x
  3. Step 3: Cross multiply
    523.12x = 722 × 302.22
  4. Step 4: Simplify right side
    523.12x = 218,202.84
  5. Step 5: Solve for x
    x = 218,202.84/523.12
  6. Step 6: Final answer
    x = 417.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.