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Finding the Fourth Proportional to 405.64, 611.26 and 335.08

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Solution

The fourth proportional to 405.64, 611.26 and 335.08 is: 504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.64 : 611.26 = 335.08 : x
  2. Step 2: Convert to fraction form
    405.64/611.26 = 335.08/x
  3. Step 3: Cross multiply
    405.64x = 611.26 × 335.08
  4. Step 4: Simplify right side
    405.64x = 204,821.00
  5. Step 5: Solve for x
    x = 204,821.00/405.64
  6. Step 6: Final answer
    x = 504.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.