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Finding the Fourth Proportional to 30.80, 42.54 and 26

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Solution

The fourth proportional to 30.80, 42.54 and 26 is: 35.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.80 : 42.54 = 26 : x
  2. Step 2: Convert to fraction form
    30.80/42.54 = 26/x
  3. Step 3: Cross multiply
    30.80x = 42.54 × 26
  4. Step 4: Simplify right side
    30.80x = 1,106.04
  5. Step 5: Solve for x
    x = 1,106.04/30.80
  6. Step 6: Final answer
    x = 35.91

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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.