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Finding the Fourth Proportional to 284.32, 392.79 and 186.31

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Solution

The fourth proportional to 284.32, 392.79 and 186.31 is: 257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.32 : 392.79 = 186.31 : x
  2. Step 2: Convert to fraction form
    284.32/392.79 = 186.31/x
  3. Step 3: Cross multiply
    284.32x = 392.79 × 186.31
  4. Step 4: Simplify right side
    284.32x = 73,180.70
  5. Step 5: Solve for x
    x = 73,180.70/284.32
  6. Step 6: Final answer
    x = 257.39

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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.