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Finding the Fourth Proportional to 288.84, 431.16 and 270.48

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Solution

The fourth proportional to 288.84, 431.16 and 270.48 is: 403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.84 : 431.16 = 270.48 : x
  2. Step 2: Convert to fraction form
    288.84/431.16 = 270.48/x
  3. Step 3: Cross multiply
    288.84x = 431.16 × 270.48
  4. Step 4: Simplify right side
    288.84x = 116,620.16
  5. Step 5: Solve for x
    x = 116,620.16/288.84
  6. Step 6: Final answer
    x = 403.75

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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.