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Finding the Fourth Proportional to 448.86, 619.67 and 280.87

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Solution

The fourth proportional to 448.86, 619.67 and 280.87 is: 387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.86 : 619.67 = 280.87 : x
  2. Step 2: Convert to fraction form
    448.86/619.67 = 280.87/x
  3. Step 3: Cross multiply
    448.86x = 619.67 × 280.87
  4. Step 4: Simplify right side
    448.86x = 174,044.29
  5. Step 5: Solve for x
    x = 174,044.29/448.86
  6. Step 6: Final answer
    x = 387.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.