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Finding the Fourth Proportional to 344.10, 513.28 and 307.64

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Solution

The fourth proportional to 344.10, 513.28 and 307.64 is: 458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.10 : 513.28 = 307.64 : x
  2. Step 2: Convert to fraction form
    344.10/513.28 = 307.64/x
  3. Step 3: Cross multiply
    344.10x = 513.28 × 307.64
  4. Step 4: Simplify right side
    344.10x = 157,905.46
  5. Step 5: Solve for x
    x = 157,905.46/344.10
  6. Step 6: Final answer
    x = 458.89

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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.