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Finding the Fourth Proportional to 107.04, 161.26 and 90.30

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Solution

The fourth proportional to 107.04, 161.26 and 90.30 is: 136.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.04 : 161.26 = 90.30 : x
  2. Step 2: Convert to fraction form
    107.04/161.26 = 90.30/x
  3. Step 3: Cross multiply
    107.04x = 161.26 × 90.30
  4. Step 4: Simplify right side
    107.04x = 14,561.78
  5. Step 5: Solve for x
    x = 14,561.78/107.04
  6. Step 6: Final answer
    x = 136.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.