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Finding the Fourth Proportional to 285.22, 425.88 and 230.55

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Solution

The fourth proportional to 285.22, 425.88 and 230.55 is: 344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.22 : 425.88 = 230.55 : x
  2. Step 2: Convert to fraction form
    285.22/425.88 = 230.55/x
  3. Step 3: Cross multiply
    285.22x = 425.88 × 230.55
  4. Step 4: Simplify right side
    285.22x = 98,185.69
  5. Step 5: Solve for x
    x = 98,185.69/285.22
  6. Step 6: Final answer
    x = 344.24

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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.