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Finding the Fourth Proportional to 435.71, 653.48 and 143.21

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Solution

The fourth proportional to 435.71, 653.48 and 143.21 is: 214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.71 : 653.48 = 143.21 : x
  2. Step 2: Convert to fraction form
    435.71/653.48 = 143.21/x
  3. Step 3: Cross multiply
    435.71x = 653.48 × 143.21
  4. Step 4: Simplify right side
    435.71x = 93,581.96
  5. Step 5: Solve for x
    x = 93,581.96/435.71
  6. Step 6: Final answer
    x = 214.78

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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.