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Finding the Fourth Proportional to 401.13, 599.13 and 335.70

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Solution

The fourth proportional to 401.13, 599.13 and 335.70 is: 501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.13 : 599.13 = 335.70 : x
  2. Step 2: Convert to fraction form
    401.13/599.13 = 335.70/x
  3. Step 3: Cross multiply
    401.13x = 599.13 × 335.70
  4. Step 4: Simplify right side
    401.13x = 201,127.94
  5. Step 5: Solve for x
    x = 201,127.94/401.13
  6. Step 6: Final answer
    x = 501.40

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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.