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Finding the Fourth Proportional to 430.44, 645.84 and 309.66

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Solution

The fourth proportional to 430.44, 645.84 and 309.66 is: 464.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.44 : 645.84 = 309.66 : x
  2. Step 2: Convert to fraction form
    430.44/645.84 = 309.66/x
  3. Step 3: Cross multiply
    430.44x = 645.84 × 309.66
  4. Step 4: Simplify right side
    430.44x = 199,990.81
  5. Step 5: Solve for x
    x = 199,990.81/430.44
  6. Step 6: Final answer
    x = 464.62

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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.