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Finding the Fourth Proportional to 344.17, 478.05 and 334.45

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Solution

The fourth proportional to 344.17, 478.05 and 334.45 is: 464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.17 : 478.05 = 334.45 : x
  2. Step 2: Convert to fraction form
    344.17/478.05 = 334.45/x
  3. Step 3: Cross multiply
    344.17x = 478.05 × 334.45
  4. Step 4: Simplify right side
    344.17x = 159,886.39
  5. Step 5: Solve for x
    x = 159,886.39/344.17
  6. Step 6: Final answer
    x = 464.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.