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Finding the Fourth Proportional to 287.94, 433.74 and 259.44

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Solution

The fourth proportional to 287.94, 433.74 and 259.44 is: 390.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.94 : 433.74 = 259.44 : x
  2. Step 2: Convert to fraction form
    287.94/433.74 = 259.44/x
  3. Step 3: Cross multiply
    287.94x = 433.74 × 259.44
  4. Step 4: Simplify right side
    287.94x = 112,529.51
  5. Step 5: Solve for x
    x = 112,529.51/287.94
  6. Step 6: Final answer
    x = 390.81

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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.