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Finding the Fourth Proportional to 344.22, 513.68 and 307.76

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Solution

The fourth proportional to 344.22, 513.68 and 307.76 is: 459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.22 : 513.68 = 307.76 : x
  2. Step 2: Convert to fraction form
    344.22/513.68 = 307.76/x
  3. Step 3: Cross multiply
    344.22x = 513.68 × 307.76
  4. Step 4: Simplify right side
    344.22x = 158,090.16
  5. Step 5: Solve for x
    x = 158,090.16/344.22
  6. Step 6: Final answer
    x = 459.27

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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.