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Finding the Fourth Proportional to 448.86, 619.35 and 271.77

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Solution

The fourth proportional to 448.86, 619.35 and 271.77 is: 374.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.86 : 619.35 = 271.77 : x
  2. Step 2: Convert to fraction form
    448.86/619.35 = 271.77/x
  3. Step 3: Cross multiply
    448.86x = 619.35 × 271.77
  4. Step 4: Simplify right side
    448.86x = 168,319.39
  5. Step 5: Solve for x
    x = 168,319.39/448.86
  6. Step 6: Final answer
    x = 374.99

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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.