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Finding the Fourth Proportional to 284.56, 390.56 and 252.76

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Solution

The fourth proportional to 284.56, 390.56 and 252.76 is: 346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.56 : 390.56 = 252.76 : x
  2. Step 2: Convert to fraction form
    284.56/390.56 = 252.76/x
  3. Step 3: Cross multiply
    284.56x = 390.56 × 252.76
  4. Step 4: Simplify right side
    284.56x = 98,717.95
  5. Step 5: Solve for x
    x = 98,717.95/284.56
  6. Step 6: Final answer
    x = 346.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.