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Finding the Fourth Proportional to 285.35, 392.85 and 243.14

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Solution

The fourth proportional to 285.35, 392.85 and 243.14 is: 334.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.35 : 392.85 = 243.14 : x
  2. Step 2: Convert to fraction form
    285.35/392.85 = 243.14/x
  3. Step 3: Cross multiply
    285.35x = 392.85 × 243.14
  4. Step 4: Simplify right side
    285.35x = 95,515.58
  5. Step 5: Solve for x
    x = 95,515.58/285.35
  6. Step 6: Final answer
    x = 334.74

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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.