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Finding the Fourth Proportional to 486.02, 728.91 and 139.36

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Solution

The fourth proportional to 486.02, 728.91 and 139.36 is: 209.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.02 : 728.91 = 139.36 : x
  2. Step 2: Convert to fraction form
    486.02/728.91 = 139.36/x
  3. Step 3: Cross multiply
    486.02x = 728.91 × 139.36
  4. Step 4: Simplify right side
    486.02x = 101,576.56
  5. Step 5: Solve for x
    x = 101,576.56/486.02
  6. Step 6: Final answer
    x = 209.00

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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.