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Finding the Fourth Proportional to 444.32, 665.73 and 290.02

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Solution

The fourth proportional to 444.32, 665.73 and 290.02 is: 434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.32 : 665.73 = 290.02 : x
  2. Step 2: Convert to fraction form
    444.32/665.73 = 290.02/x
  3. Step 3: Cross multiply
    444.32x = 665.73 × 290.02
  4. Step 4: Simplify right side
    444.32x = 193,075.01
  5. Step 5: Solve for x
    x = 193,075.01/444.32
  6. Step 6: Final answer
    x = 434.54

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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.