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Finding the Fourth Proportional to 284.60, 390.23 and 256.86

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Solution

The fourth proportional to 284.60, 390.23 and 256.86 is: 352.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.60 : 390.23 = 256.86 : x
  2. Step 2: Convert to fraction form
    284.60/390.23 = 256.86/x
  3. Step 3: Cross multiply
    284.60x = 390.23 × 256.86
  4. Step 4: Simplify right side
    284.60x = 100,234.48
  5. Step 5: Solve for x
    x = 100,234.48/284.60
  6. Step 6: Final answer
    x = 352.19

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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.