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Finding the Fourth Proportional to 264.19, 396.42 and 120.01

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Solution

The fourth proportional to 264.19, 396.42 and 120.01 is: 180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.19 : 396.42 = 120.01 : x
  2. Step 2: Convert to fraction form
    264.19/396.42 = 120.01/x
  3. Step 3: Cross multiply
    264.19x = 396.42 × 120.01
  4. Step 4: Simplify right side
    264.19x = 47,574.36
  5. Step 5: Solve for x
    x = 47,574.36/264.19
  6. Step 6: Final answer
    x = 180.08

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Why These Related Problems?

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