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Finding the Fourth Proportional to 344.84, 514.09 and 318.92

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Solution

The fourth proportional to 344.84, 514.09 and 318.92 is: 475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.84 : 514.09 = 318.92 : x
  2. Step 2: Convert to fraction form
    344.84/514.09 = 318.92/x
  3. Step 3: Cross multiply
    344.84x = 514.09 × 318.92
  4. Step 4: Simplify right side
    344.84x = 163,953.58
  5. Step 5: Solve for x
    x = 163,953.58/344.84
  6. Step 6: Final answer
    x = 475.45

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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.