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Finding the Fourth Proportional to 344.37, 515.84 and 256.69

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Solution

The fourth proportional to 344.37, 515.84 and 256.69 is: 384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.37 : 515.84 = 256.69 : x
  2. Step 2: Convert to fraction form
    344.37/515.84 = 256.69/x
  3. Step 3: Cross multiply
    344.37x = 515.84 × 256.69
  4. Step 4: Simplify right side
    344.37x = 132,410.32
  5. Step 5: Solve for x
    x = 132,410.32/344.37
  6. Step 6: Final answer
    x = 384.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.