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Finding the Fourth Proportional to 449.64, 671.84 and 332.01

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Solution

The fourth proportional to 449.64, 671.84 and 332.01 is: 496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.64 : 671.84 = 332.01 : x
  2. Step 2: Convert to fraction form
    449.64/671.84 = 332.01/x
  3. Step 3: Cross multiply
    449.64x = 671.84 × 332.01
  4. Step 4: Simplify right side
    449.64x = 223,055.94
  5. Step 5: Solve for x
    x = 223,055.94/449.64
  6. Step 6: Final answer
    x = 496.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.