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Finding the Fourth Proportional to 285.37, 393.75 and 223.20

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Solution

The fourth proportional to 285.37, 393.75 and 223.20 is: 307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.37 : 393.75 = 223.20 : x
  2. Step 2: Convert to fraction form
    285.37/393.75 = 223.20/x
  3. Step 3: Cross multiply
    285.37x = 393.75 × 223.20
  4. Step 4: Simplify right side
    285.37x = 87,885
  5. Step 5: Solve for x
    x = 87,885/285.37
  6. Step 6: Final answer
    x = 307.97

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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.