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Finding the Fourth Proportional to 344, 513.60 and 307.52

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Solution

The fourth proportional to 344, 513.60 and 307.52 is: 459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    344 : 513.60 = 307.52 : x
  2. Step 2: Convert to fraction form
    344/513.60 = 307.52/x
  3. Step 3: Cross multiply
    344x = 513.60 × 307.52
  4. Step 4: Simplify right side
    344x = 157,942.27
  5. Step 5: Solve for x
    x = 157,942.27/344
  6. Step 6: Final answer
    x = 459.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.