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Finding the Fourth Proportional to 435.56, 653.42 and 219.08

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Solution

The fourth proportional to 435.56, 653.42 and 219.08 is: 328.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.56 : 653.42 = 219.08 : x
  2. Step 2: Convert to fraction form
    435.56/653.42 = 219.08/x
  3. Step 3: Cross multiply
    435.56x = 653.42 × 219.08
  4. Step 4: Simplify right side
    435.56x = 143,151.25
  5. Step 5: Solve for x
    x = 143,151.25/435.56
  6. Step 6: Final answer
    x = 328.66

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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.