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Finding the Fourth Proportional to 285.96, 392.48 and 264.04

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Solution

The fourth proportional to 285.96, 392.48 and 264.04 is: 362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.96 : 392.48 = 264.04 : x
  2. Step 2: Convert to fraction form
    285.96/392.48 = 264.04/x
  3. Step 3: Cross multiply
    285.96x = 392.48 × 264.04
  4. Step 4: Simplify right side
    285.96x = 103,630.42
  5. Step 5: Solve for x
    x = 103,630.42/285.96
  6. Step 6: Final answer
    x = 362.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.