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Finding the Fourth Proportional to 285.49, 393.88 and 185.89

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Solution

The fourth proportional to 285.49, 393.88 and 185.89 is: 256.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.49 : 393.88 = 185.89 : x
  2. Step 2: Convert to fraction form
    285.49/393.88 = 185.89/x
  3. Step 3: Cross multiply
    285.49x = 393.88 × 185.89
  4. Step 4: Simplify right side
    285.49x = 73,218.35
  5. Step 5: Solve for x
    x = 73,218.35/285.49
  6. Step 6: Final answer
    x = 256.47

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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.