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Finding the Fourth Proportional to 501.51, 751.91 and 227.46

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Solution

The fourth proportional to 501.51, 751.91 and 227.46 is: 341.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.51 : 751.91 = 227.46 : x
  2. Step 2: Convert to fraction form
    501.51/751.91 = 227.46/x
  3. Step 3: Cross multiply
    501.51x = 751.91 × 227.46
  4. Step 4: Simplify right side
    501.51x = 171,028.31
  5. Step 5: Solve for x
    x = 171,028.31/501.51
  6. Step 6: Final answer
    x = 341.03

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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.