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Finding the Fourth Proportional to 285.27, 392.96 and 264.27

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Solution

The fourth proportional to 285.27, 392.96 and 264.27 is: 364.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.27 : 392.96 = 264.27 : x
  2. Step 2: Convert to fraction form
    285.27/392.96 = 264.27/x
  3. Step 3: Cross multiply
    285.27x = 392.96 × 264.27
  4. Step 4: Simplify right side
    285.27x = 103,846.22
  5. Step 5: Solve for x
    x = 103,846.22/285.27
  6. Step 6: Final answer
    x = 364.03

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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.