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Finding the Fourth Proportional to 420.36, 629.70 and 275.64

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Solution

The fourth proportional to 420.36, 629.70 and 275.64 is: 412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.36 : 629.70 = 275.64 : x
  2. Step 2: Convert to fraction form
    420.36/629.70 = 275.64/x
  3. Step 3: Cross multiply
    420.36x = 629.70 × 275.64
  4. Step 4: Simplify right side
    420.36x = 173,570.51
  5. Step 5: Solve for x
    x = 173,570.51/420.36
  6. Step 6: Final answer
    x = 412.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.