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Finding the Fourth Proportional to 285.32, 388.64 and 279.96

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Solution

The fourth proportional to 285.32, 388.64 and 279.96 is: 381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.32 : 388.64 = 279.96 : x
  2. Step 2: Convert to fraction form
    285.32/388.64 = 279.96/x
  3. Step 3: Cross multiply
    285.32x = 388.64 × 279.96
  4. Step 4: Simplify right side
    285.32x = 108,803.65
  5. Step 5: Solve for x
    x = 108,803.65/285.32
  6. Step 6: Final answer
    x = 381.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.