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Finding the Fourth Proportional to 274.30, 385.10 and 274.30

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Solution

The fourth proportional to 274.30, 385.10 and 274.30 is: 385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.30 : 385.10 = 274.30 : x
  2. Step 2: Convert to fraction form
    274.30/385.10 = 274.30/x
  3. Step 3: Cross multiply
    274.30x = 385.10 × 274.30
  4. Step 4: Simplify right side
    274.30x = 105,632.93
  5. Step 5: Solve for x
    x = 105,632.93/274.30
  6. Step 6: Final answer
    x = 385.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.