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Finding the Fourth Proportional to 288.10, 397.29 and 250.84

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Solution

The fourth proportional to 288.10, 397.29 and 250.84 is: 345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.10 : 397.29 = 250.84 : x
  2. Step 2: Convert to fraction form
    288.10/397.29 = 250.84/x
  3. Step 3: Cross multiply
    288.10x = 397.29 × 250.84
  4. Step 4: Simplify right side
    288.10x = 99,656.22
  5. Step 5: Solve for x
    x = 99,656.22/288.10
  6. Step 6: Final answer
    x = 345.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.