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Finding the Fourth Proportional to 541.33, 747.05 and 305.33

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Solution

The fourth proportional to 541.33, 747.05 and 305.33 is: 421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.33 : 747.05 = 305.33 : x
  2. Step 2: Convert to fraction form
    541.33/747.05 = 305.33/x
  3. Step 3: Cross multiply
    541.33x = 747.05 × 305.33
  4. Step 4: Simplify right side
    541.33x = 228,091.51
  5. Step 5: Solve for x
    x = 228,091.51/541.33
  6. Step 6: Final answer
    x = 421.36

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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.