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Finding the Fourth Proportional to 344.82, 514.28 and 313.84

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Solution

The fourth proportional to 344.82, 514.28 and 313.84 is: 468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.82 : 514.28 = 313.84 : x
  2. Step 2: Convert to fraction form
    344.82/514.28 = 313.84/x
  3. Step 3: Cross multiply
    344.82x = 514.28 × 313.84
  4. Step 4: Simplify right side
    344.82x = 161,403.06
  5. Step 5: Solve for x
    x = 161,403.06/344.82
  6. Step 6: Final answer
    x = 468.07

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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.