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Finding the Fourth Proportional to 448.32, 671.65 and 283.44

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Solution

The fourth proportional to 448.32, 671.65 and 283.44 is: 424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.32 : 671.65 = 283.44 : x
  2. Step 2: Convert to fraction form
    448.32/671.65 = 283.44/x
  3. Step 3: Cross multiply
    448.32x = 671.65 × 283.44
  4. Step 4: Simplify right side
    448.32x = 190,372.48
  5. Step 5: Solve for x
    x = 190,372.48/448.32
  6. Step 6: Final answer
    x = 424.64

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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.