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Finding the Fourth Proportional to 365.06, 503.87 and 266.64

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Solution

The fourth proportional to 365.06, 503.87 and 266.64 is: 368.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.06 : 503.87 = 266.64 : x
  2. Step 2: Convert to fraction form
    365.06/503.87 = 266.64/x
  3. Step 3: Cross multiply
    365.06x = 503.87 × 266.64
  4. Step 4: Simplify right side
    365.06x = 134,350.56
  5. Step 5: Solve for x
    x = 134,350.56/365.06
  6. Step 6: Final answer
    x = 368.03

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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.