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Finding the Fourth Proportional to 284.07, 393.67 and 280.59

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Solution

The fourth proportional to 284.07, 393.67 and 280.59 is: 388.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.07 : 393.67 = 280.59 : x
  2. Step 2: Convert to fraction form
    284.07/393.67 = 280.59/x
  3. Step 3: Cross multiply
    284.07x = 393.67 × 280.59
  4. Step 4: Simplify right side
    284.07x = 110,459.16
  5. Step 5: Solve for x
    x = 110,459.16/284.07
  6. Step 6: Final answer
    x = 388.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.