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Finding the Fourth Proportional to 370.97, 556.45 and 289.88

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Solution

The fourth proportional to 370.97, 556.45 and 289.88 is: 434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.97 : 556.45 = 289.88 : x
  2. Step 2: Convert to fraction form
    370.97/556.45 = 289.88/x
  3. Step 3: Cross multiply
    370.97x = 556.45 × 289.88
  4. Step 4: Simplify right side
    370.97x = 161,300.94
  5. Step 5: Solve for x
    x = 161,300.94/370.97
  6. Step 6: Final answer
    x = 434.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.