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Finding the Fourth Proportional to 335.40, 462 and 282.88

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Solution

The fourth proportional to 335.40, 462 and 282.88 is: 389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.40 : 462 = 282.88 : x
  2. Step 2: Convert to fraction form
    335.40/462 = 282.88/x
  3. Step 3: Cross multiply
    335.40x = 462 × 282.88
  4. Step 4: Simplify right side
    335.40x = 130,690.56
  5. Step 5: Solve for x
    x = 130,690.56/335.40
  6. Step 6: Final answer
    x = 389.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.