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Finding the Fourth Proportional to 430.91, 645.21 and 294.22

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Solution

The fourth proportional to 430.91, 645.21 and 294.22 is: 440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.91 : 645.21 = 294.22 : x
  2. Step 2: Convert to fraction form
    430.91/645.21 = 294.22/x
  3. Step 3: Cross multiply
    430.91x = 645.21 × 294.22
  4. Step 4: Simplify right side
    430.91x = 189,833.69
  5. Step 5: Solve for x
    x = 189,833.69/430.91
  6. Step 6: Final answer
    x = 440.54

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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.