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Finding the Fourth Proportional to 430.49, 645.21 and 199.06

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Solution

The fourth proportional to 430.49, 645.21 and 199.06 is: 298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.49 : 645.21 = 199.06 : x
  2. Step 2: Convert to fraction form
    430.49/645.21 = 199.06/x
  3. Step 3: Cross multiply
    430.49x = 645.21 × 199.06
  4. Step 4: Simplify right side
    430.49x = 128,435.50
  5. Step 5: Solve for x
    x = 128,435.50/430.49
  6. Step 6: Final answer
    x = 298.35

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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.