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Finding the Fourth Proportional to 284.88, 392.84 and 243.60

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Solution

The fourth proportional to 284.88, 392.84 and 243.60 is: 335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.88 : 392.84 = 243.60 : x
  2. Step 2: Convert to fraction form
    284.88/392.84 = 243.60/x
  3. Step 3: Cross multiply
    284.88x = 392.84 × 243.60
  4. Step 4: Simplify right side
    284.88x = 95,695.82
  5. Step 5: Solve for x
    x = 95,695.82/284.88
  6. Step 6: Final answer
    x = 335.92

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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.