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Finding the Fourth Proportional to 335.94, 505.71 and 259.32

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Solution

The fourth proportional to 335.94, 505.71 and 259.32 is: 390.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.94 : 505.71 = 259.32 : x
  2. Step 2: Convert to fraction form
    335.94/505.71 = 259.32/x
  3. Step 3: Cross multiply
    335.94x = 505.71 × 259.32
  4. Step 4: Simplify right side
    335.94x = 131,140.72
  5. Step 5: Solve for x
    x = 131,140.72/335.94
  6. Step 6: Final answer
    x = 390.37

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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.