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Finding the Fourth Proportional to 284.30, 392.44 and 186.08

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Solution

The fourth proportional to 284.30, 392.44 and 186.08 is: 256.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.30 : 392.44 = 186.08 : x
  2. Step 2: Convert to fraction form
    284.30/392.44 = 186.08/x
  3. Step 3: Cross multiply
    284.30x = 392.44 × 186.08
  4. Step 4: Simplify right side
    284.30x = 73,025.24
  5. Step 5: Solve for x
    x = 73,025.24/284.30
  6. Step 6: Final answer
    x = 256.86

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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.