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Finding the Fourth Proportional to 419.16, 631.24 and 365.72

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Solution

The fourth proportional to 419.16, 631.24 and 365.72 is: 550.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.16 : 631.24 = 365.72 : x
  2. Step 2: Convert to fraction form
    419.16/631.24 = 365.72/x
  3. Step 3: Cross multiply
    419.16x = 631.24 × 365.72
  4. Step 4: Simplify right side
    419.16x = 230,857.09
  5. Step 5: Solve for x
    x = 230,857.09/419.16
  6. Step 6: Final answer
    x = 550.76

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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.