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Finding the Fourth Proportional to 288.90, 431.70 and 251.84

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Solution

The fourth proportional to 288.90, 431.70 and 251.84 is: 376.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.90 : 431.70 = 251.84 : x
  2. Step 2: Convert to fraction form
    288.90/431.70 = 251.84/x
  3. Step 3: Cross multiply
    288.90x = 431.70 × 251.84
  4. Step 4: Simplify right side
    288.90x = 108,719.46
  5. Step 5: Solve for x
    x = 108,719.46/288.90
  6. Step 6: Final answer
    x = 376.32

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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.