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Finding the Fourth Proportional to 293.75, 403.14 and 266.06

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Solution

The fourth proportional to 293.75, 403.14 and 266.06 is: 365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.75 : 403.14 = 266.06 : x
  2. Step 2: Convert to fraction form
    293.75/403.14 = 266.06/x
  3. Step 3: Cross multiply
    293.75x = 403.14 × 266.06
  4. Step 4: Simplify right side
    293.75x = 107,259.43
  5. Step 5: Solve for x
    x = 107,259.43/293.75
  6. Step 6: Final answer
    x = 365.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.