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Finding the Fourth Proportional to 268.81, 403.05 and 192.26

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Solution

The fourth proportional to 268.81, 403.05 and 192.26 is: 288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.81 : 403.05 = 192.26 : x
  2. Step 2: Convert to fraction form
    268.81/403.05 = 192.26/x
  3. Step 3: Cross multiply
    268.81x = 403.05 × 192.26
  4. Step 4: Simplify right side
    268.81x = 77,492.12
  5. Step 5: Solve for x
    x = 77,492.12/268.81
  6. Step 6: Final answer
    x = 288.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.