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Finding the Fourth Proportional to 266.70, 367.64 and 210.59

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Solution

The fourth proportional to 266.70, 367.64 and 210.59 is: 290.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.70 : 367.64 = 210.59 : x
  2. Step 2: Convert to fraction form
    266.70/367.64 = 210.59/x
  3. Step 3: Cross multiply
    266.70x = 367.64 × 210.59
  4. Step 4: Simplify right side
    266.70x = 77,420.00
  5. Step 5: Solve for x
    x = 77,420.00/266.70
  6. Step 6: Final answer
    x = 290.29

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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.