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Finding the Fourth Proportional to 288.22, 430.24 and 266.81

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Solution

The fourth proportional to 288.22, 430.24 and 266.81 is: 398.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.22 : 430.24 = 266.81 : x
  2. Step 2: Convert to fraction form
    288.22/430.24 = 266.81/x
  3. Step 3: Cross multiply
    288.22x = 430.24 × 266.81
  4. Step 4: Simplify right side
    288.22x = 114,792.33
  5. Step 5: Solve for x
    x = 114,792.33/288.22
  6. Step 6: Final answer
    x = 398.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.