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Finding the Fourth Proportional to 334.84, 500.04 and 286.20

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Solution

The fourth proportional to 334.84, 500.04 and 286.20 is: 427.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.84 : 500.04 = 286.20 : x
  2. Step 2: Convert to fraction form
    334.84/500.04 = 286.20/x
  3. Step 3: Cross multiply
    334.84x = 500.04 × 286.20
  4. Step 4: Simplify right side
    334.84x = 143,111.45
  5. Step 5: Solve for x
    x = 143,111.45/334.84
  6. Step 6: Final answer
    x = 427.40

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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.