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Finding the Fourth Proportional to 285.64, 393.81 and 206.89

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Solution

The fourth proportional to 285.64, 393.81 and 206.89 is: 285.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.64 : 393.81 = 206.89 : x
  2. Step 2: Convert to fraction form
    285.64/393.81 = 206.89/x
  3. Step 3: Cross multiply
    285.64x = 393.81 × 206.89
  4. Step 4: Simplify right side
    285.64x = 81,475.35
  5. Step 5: Solve for x
    x = 81,475.35/285.64
  6. Step 6: Final answer
    x = 285.24

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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.