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Finding the Fourth Proportional to 420.13, 629.12 and 351.48

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Solution

The fourth proportional to 420.13, 629.12 and 351.48 is: 526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.13 : 629.12 = 351.48 : x
  2. Step 2: Convert to fraction form
    420.13/629.12 = 351.48/x
  3. Step 3: Cross multiply
    420.13x = 629.12 × 351.48
  4. Step 4: Simplify right side
    420.13x = 221,123.98
  5. Step 5: Solve for x
    x = 221,123.98/420.13
  6. Step 6: Final answer
    x = 526.33

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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.