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Finding the Fourth Proportional to 344.40, 513.93 and 313.74

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Solution

The fourth proportional to 344.40, 513.93 and 313.74 is: 468.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.40 : 513.93 = 313.74 : x
  2. Step 2: Convert to fraction form
    344.40/513.93 = 313.74/x
  3. Step 3: Cross multiply
    344.40x = 513.93 × 313.74
  4. Step 4: Simplify right side
    344.40x = 161,240.40
  5. Step 5: Solve for x
    x = 161,240.40/344.40
  6. Step 6: Final answer
    x = 468.18

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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.