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Finding the Fourth Proportional to 274.07, 410.75 and 245.01

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Solution

The fourth proportional to 274.07, 410.75 and 245.01 is: 367.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.07 : 410.75 = 245.01 : x
  2. Step 2: Convert to fraction form
    274.07/410.75 = 245.01/x
  3. Step 3: Cross multiply
    274.07x = 410.75 × 245.01
  4. Step 4: Simplify right side
    274.07x = 100,637.86
  5. Step 5: Solve for x
    x = 100,637.86/274.07
  6. Step 6: Final answer
    x = 367.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.