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Finding the Fourth Proportional to 448.32, 669.52 and 361.76

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Solution

The fourth proportional to 448.32, 669.52 and 361.76 is: 540.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.32 : 669.52 = 361.76 : x
  2. Step 2: Convert to fraction form
    448.32/669.52 = 361.76/x
  3. Step 3: Cross multiply
    448.32x = 669.52 × 361.76
  4. Step 4: Simplify right side
    448.32x = 242,205.56
  5. Step 5: Solve for x
    x = 242,205.56/448.32
  6. Step 6: Final answer
    x = 540.25

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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.