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Finding the Fourth Proportional to 279.84, 383.76 and 275.52

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Solution

The fourth proportional to 279.84, 383.76 and 275.52 is: 377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.84 : 383.76 = 275.52 : x
  2. Step 2: Convert to fraction form
    279.84/383.76 = 275.52/x
  3. Step 3: Cross multiply
    279.84x = 383.76 × 275.52
  4. Step 4: Simplify right side
    279.84x = 105,733.56
  5. Step 5: Solve for x
    x = 105,733.56/279.84
  6. Step 6: Final answer
    x = 377.84

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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.