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Finding the Fourth Proportional to 501.36, 751.20 and 327.78

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Solution

The fourth proportional to 501.36, 751.20 and 327.78 is: 491.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.36 : 751.20 = 327.78 : x
  2. Step 2: Convert to fraction form
    501.36/751.20 = 327.78/x
  3. Step 3: Cross multiply
    501.36x = 751.20 × 327.78
  4. Step 4: Simplify right side
    501.36x = 246,228.34
  5. Step 5: Solve for x
    x = 246,228.34/501.36
  6. Step 6: Final answer
    x = 491.12

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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.