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Finding the Fourth Proportional to 335.82, 501.35 and 284.12

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Solution

The fourth proportional to 335.82, 501.35 and 284.12 is: 424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.82 : 501.35 = 284.12 : x
  2. Step 2: Convert to fraction form
    335.82/501.35 = 284.12/x
  3. Step 3: Cross multiply
    335.82x = 501.35 × 284.12
  4. Step 4: Simplify right side
    335.82x = 142,443.56
  5. Step 5: Solve for x
    x = 142,443.56/335.82
  6. Step 6: Final answer
    x = 424.17

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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.