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Finding the Fourth Proportional to 365.30, 504.06 and 266.75

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Solution

The fourth proportional to 365.30, 504.06 and 266.75 is: 368.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.30 : 504.06 = 266.75 : x
  2. Step 2: Convert to fraction form
    365.30/504.06 = 266.75/x
  3. Step 3: Cross multiply
    365.30x = 504.06 × 266.75
  4. Step 4: Simplify right side
    365.30x = 134,458.01
  5. Step 5: Solve for x
    x = 134,458.01/365.30
  6. Step 6: Final answer
    x = 368.08

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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.