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Finding the Fourth Proportional to 334.84, 498.82 and 319.04

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Solution

The fourth proportional to 334.84, 498.82 and 319.04 is: 475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.84 : 498.82 = 319.04 : x
  2. Step 2: Convert to fraction form
    334.84/498.82 = 319.04/x
  3. Step 3: Cross multiply
    334.84x = 498.82 × 319.04
  4. Step 4: Simplify right side
    334.84x = 159,143.53
  5. Step 5: Solve for x
    x = 159,143.53/334.84
  6. Step 6: Final answer
    x = 475.28

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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.