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Finding the Fourth Proportional to 645.10, 890.24 and 350.36

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Solution

The fourth proportional to 645.10, 890.24 and 350.36 is: 483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.10 : 890.24 = 350.36 : x
  2. Step 2: Convert to fraction form
    645.10/890.24 = 350.36/x
  3. Step 3: Cross multiply
    645.10x = 890.24 × 350.36
  4. Step 4: Simplify right side
    645.10x = 311,904.49
  5. Step 5: Solve for x
    x = 311,904.49/645.10
  6. Step 6: Final answer
    x = 483.50

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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.