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Finding the Fourth Proportional to 430.19, 644.67 and 213.52

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Solution

The fourth proportional to 430.19, 644.67 and 213.52 is: 319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.19 : 644.67 = 213.52 : x
  2. Step 2: Convert to fraction form
    430.19/644.67 = 213.52/x
  3. Step 3: Cross multiply
    430.19x = 644.67 × 213.52
  4. Step 4: Simplify right side
    430.19x = 137,649.94
  5. Step 5: Solve for x
    x = 137,649.94/430.19
  6. Step 6: Final answer
    x = 319.97

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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.