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Finding the Fourth Proportional to 279.56, 384.72 and 271.48

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Solution

The fourth proportional to 279.56, 384.72 and 271.48 is: 373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.56 : 384.72 = 271.48 : x
  2. Step 2: Convert to fraction form
    279.56/384.72 = 271.48/x
  3. Step 3: Cross multiply
    279.56x = 384.72 × 271.48
  4. Step 4: Simplify right side
    279.56x = 104,443.79
  5. Step 5: Solve for x
    x = 104,443.79/279.56
  6. Step 6: Final answer
    x = 373.60

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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.