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Finding the Fourth Proportional to 344.96, 514.66 and 307.04

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Solution

The fourth proportional to 344.96, 514.66 and 307.04 is: 458.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.96 : 514.66 = 307.04 : x
  2. Step 2: Convert to fraction form
    344.96/514.66 = 307.04/x
  3. Step 3: Cross multiply
    344.96x = 514.66 × 307.04
  4. Step 4: Simplify right side
    344.96x = 158,021.21
  5. Step 5: Solve for x
    x = 158,021.21/344.96
  6. Step 6: Final answer
    x = 458.09

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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.