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Finding the Fourth Proportional to 501.48, 752 and 227.56

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Solution

The fourth proportional to 501.48, 752 and 227.56 is: 341.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.48 : 752 = 227.56 : x
  2. Step 2: Convert to fraction form
    501.48/752 = 227.56/x
  3. Step 3: Cross multiply
    501.48x = 752 × 227.56
  4. Step 4: Simplify right side
    501.48x = 171,125.12
  5. Step 5: Solve for x
    x = 171,125.12/501.48
  6. Step 6: Final answer
    x = 341.24

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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.