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Finding the Fourth Proportional to 460.51, 635.48 and 274.01

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Solution

The fourth proportional to 460.51, 635.48 and 274.01 is: 378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.51 : 635.48 = 274.01 : x
  2. Step 2: Convert to fraction form
    460.51/635.48 = 274.01/x
  3. Step 3: Cross multiply
    460.51x = 635.48 × 274.01
  4. Step 4: Simplify right side
    460.51x = 174,127.87
  5. Step 5: Solve for x
    x = 174,127.87/460.51
  6. Step 6: Final answer
    x = 378.12

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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.