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Finding the Fourth Proportional to 285.18, 392.97 and 206.35

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Solution

The fourth proportional to 285.18, 392.97 and 206.35 is: 284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.18 : 392.97 = 206.35 : x
  2. Step 2: Convert to fraction form
    285.18/392.97 = 206.35/x
  3. Step 3: Cross multiply
    285.18x = 392.97 × 206.35
  4. Step 4: Simplify right side
    285.18x = 81,089.83
  5. Step 5: Solve for x
    x = 81,089.83/285.18
  6. Step 6: Final answer
    x = 284.35

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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.