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Finding the Fourth Proportional to 419.06, 631.06 and 365.60

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Solution

The fourth proportional to 419.06, 631.06 and 365.60 is: 550.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.06 : 631.06 = 365.60 : x
  2. Step 2: Convert to fraction form
    419.06/631.06 = 365.60/x
  3. Step 3: Cross multiply
    419.06x = 631.06 × 365.60
  4. Step 4: Simplify right side
    419.06x = 230,715.54
  5. Step 5: Solve for x
    x = 230,715.54/419.06
  6. Step 6: Final answer
    x = 550.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.