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Finding the Fourth Proportional to 279.77, 383.82 and 272.58

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Solution

The fourth proportional to 279.77, 383.82 and 272.58 is: 373.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.77 : 383.82 = 272.58 : x
  2. Step 2: Convert to fraction form
    279.77/383.82 = 272.58/x
  3. Step 3: Cross multiply
    279.77x = 383.82 × 272.58
  4. Step 4: Simplify right side
    279.77x = 104,621.66
  5. Step 5: Solve for x
    x = 104,621.66/279.77
  6. Step 6: Final answer
    x = 373.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.