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Finding the Fourth Proportional to 344.09, 515.76 and 124.64

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Solution

The fourth proportional to 344.09, 515.76 and 124.64 is: 186.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.09 : 515.76 = 124.64 : x
  2. Step 2: Convert to fraction form
    344.09/515.76 = 124.64/x
  3. Step 3: Cross multiply
    344.09x = 515.76 × 124.64
  4. Step 4: Simplify right side
    344.09x = 64,281.75
  5. Step 5: Solve for x
    x = 64,281.75/344.09
  6. Step 6: Final answer
    x = 186.82

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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.