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Finding the Fourth Proportional to 288.98, 397.58 and 252.23

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Solution

The fourth proportional to 288.98, 397.58 and 252.23 is: 347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.98 : 397.58 = 252.23 : x
  2. Step 2: Convert to fraction form
    288.98/397.58 = 252.23/x
  3. Step 3: Cross multiply
    288.98x = 397.58 × 252.23
  4. Step 4: Simplify right side
    288.98x = 100,279.62
  5. Step 5: Solve for x
    x = 100,279.62/288.98
  6. Step 6: Final answer
    x = 347.01

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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.