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Finding the Fourth Proportional to 448.86, 673 and 362.30

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Solution

The fourth proportional to 448.86, 673 and 362.30 is: 543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.86 : 673 = 362.30 : x
  2. Step 2: Convert to fraction form
    448.86/673 = 362.30/x
  3. Step 3: Cross multiply
    448.86x = 673 × 362.30
  4. Step 4: Simplify right side
    448.86x = 243,827.90
  5. Step 5: Solve for x
    x = 243,827.90/448.86
  6. Step 6: Final answer
    x = 543.22

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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.