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Finding the Fourth Proportional to 491.03, 677.60 and 266.94

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Solution

The fourth proportional to 491.03, 677.60 and 266.94 is: 368.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.03 : 677.60 = 266.94 : x
  2. Step 2: Convert to fraction form
    491.03/677.60 = 266.94/x
  3. Step 3: Cross multiply
    491.03x = 677.60 × 266.94
  4. Step 4: Simplify right side
    491.03x = 180,877.21
  5. Step 5: Solve for x
    x = 180,877.21/491.03
  6. Step 6: Final answer
    x = 368.37

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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.