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Finding the Fourth Proportional to 328.69, 453.63 and 210.70

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Solution

The fourth proportional to 328.69, 453.63 and 210.70 is: 290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.69 : 453.63 = 210.70 : x
  2. Step 2: Convert to fraction form
    328.69/453.63 = 210.70/x
  3. Step 3: Cross multiply
    328.69x = 453.63 × 210.70
  4. Step 4: Simplify right side
    328.69x = 95,579.84
  5. Step 5: Solve for x
    x = 95,579.84/328.69
  6. Step 6: Final answer
    x = 290.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.