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Finding the Fourth Proportional to 435.34, 653 and 110.71

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Solution

The fourth proportional to 435.34, 653 and 110.71 is: 166.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.34 : 653 = 110.71 : x
  2. Step 2: Convert to fraction form
    435.34/653 = 110.71/x
  3. Step 3: Cross multiply
    435.34x = 653 × 110.71
  4. Step 4: Simplify right side
    435.34x = 72,293.63
  5. Step 5: Solve for x
    x = 72,293.63/435.34
  6. Step 6: Final answer
    x = 166.06

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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.