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Finding the Fourth Proportional to 266.94, 365.70 and 257.69

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Solution

The fourth proportional to 266.94, 365.70 and 257.69 is: 353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.94 : 365.70 = 257.69 : x
  2. Step 2: Convert to fraction form
    266.94/365.70 = 257.69/x
  3. Step 3: Cross multiply
    266.94x = 365.70 × 257.69
  4. Step 4: Simplify right side
    266.94x = 94,239.11
  5. Step 5: Solve for x
    x = 94,239.11/266.94
  6. Step 6: Final answer
    x = 353.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.