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Finding the Fourth Proportional to 430.38, 644.76 and 213.30

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Solution

The fourth proportional to 430.38, 644.76 and 213.30 is: 319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.38 : 644.76 = 213.30 : x
  2. Step 2: Convert to fraction form
    430.38/644.76 = 213.30/x
  3. Step 3: Cross multiply
    430.38x = 644.76 × 213.30
  4. Step 4: Simplify right side
    430.38x = 137,527.31
  5. Step 5: Solve for x
    x = 137,527.31/430.38
  6. Step 6: Final answer
    x = 319.55

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