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Finding the Fourth Proportional to 293.19, 403.76 and 287.07

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Solution

The fourth proportional to 293.19, 403.76 and 287.07 is: 395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.19 : 403.76 = 287.07 : x
  2. Step 2: Convert to fraction form
    293.19/403.76 = 287.07/x
  3. Step 3: Cross multiply
    293.19x = 403.76 × 287.07
  4. Step 4: Simplify right side
    293.19x = 115,905.95
  5. Step 5: Solve for x
    x = 115,905.95/293.19
  6. Step 6: Final answer
    x = 395.33

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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.