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Finding the Fourth Proportional to 295.34, 405.41 and 266.18

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Solution

The fourth proportional to 295.34, 405.41 and 266.18 is: 365.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.34 : 405.41 = 266.18 : x
  2. Step 2: Convert to fraction form
    295.34/405.41 = 266.18/x
  3. Step 3: Cross multiply
    295.34x = 405.41 × 266.18
  4. Step 4: Simplify right side
    295.34x = 107,908.68
  5. Step 5: Solve for x
    x = 107,908.68/295.34
  6. Step 6: Final answer
    x = 365.38

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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.