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Finding the Fourth Proportional to 319.15, 440.48 and 266.62

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Solution

The fourth proportional to 319.15, 440.48 and 266.62 is: 367.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.15 : 440.48 = 266.62 : x
  2. Step 2: Convert to fraction form
    319.15/440.48 = 266.62/x
  3. Step 3: Cross multiply
    319.15x = 440.48 × 266.62
  4. Step 4: Simplify right side
    319.15x = 117,438.34
  5. Step 5: Solve for x
    x = 117,438.34/319.15
  6. Step 6: Final answer
    x = 367.98

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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.