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Finding the Fourth Proportional to 283.18, 389.45 and 259.28

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Solution

The fourth proportional to 283.18, 389.45 and 259.28 is: 356.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.18 : 389.45 = 259.28 : x
  2. Step 2: Convert to fraction form
    283.18/389.45 = 259.28/x
  3. Step 3: Cross multiply
    283.18x = 389.45 × 259.28
  4. Step 4: Simplify right side
    283.18x = 100,978.22
  5. Step 5: Solve for x
    x = 100,978.22/283.18
  6. Step 6: Final answer
    x = 356.59

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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.