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Finding the Fourth Proportional to 266.60, 386.25 and 266.60

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Solution

The fourth proportional to 266.60, 386.25 and 266.60 is: 386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.60 : 386.25 = 266.60 : x
  2. Step 2: Convert to fraction form
    266.60/386.25 = 266.60/x
  3. Step 3: Cross multiply
    266.60x = 386.25 × 266.60
  4. Step 4: Simplify right side
    266.60x = 102,974.25
  5. Step 5: Solve for x
    x = 102,974.25/266.60
  6. Step 6: Final answer
    x = 386.25

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.