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Finding the Fourth Proportional to 293.76, 402.48 and 271.98

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Solution

The fourth proportional to 293.76, 402.48 and 271.98 is: 372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.76 : 402.48 = 271.98 : x
  2. Step 2: Convert to fraction form
    293.76/402.48 = 271.98/x
  3. Step 3: Cross multiply
    293.76x = 402.48 × 271.98
  4. Step 4: Simplify right side
    293.76x = 109,466.51
  5. Step 5: Solve for x
    x = 109,466.51/293.76
  6. Step 6: Final answer
    x = 372.64

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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.