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Finding the Fourth Proportional to 284.80, 392.80 and 186.56

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Solution

The fourth proportional to 284.80, 392.80 and 186.56 is: 257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.80 : 392.80 = 186.56 : x
  2. Step 2: Convert to fraction form
    284.80/392.80 = 186.56/x
  3. Step 3: Cross multiply
    284.80x = 392.80 × 186.56
  4. Step 4: Simplify right side
    284.80x = 73,280.77
  5. Step 5: Solve for x
    x = 73,280.77/284.80
  6. Step 6: Final answer
    x = 257.31

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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.