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Finding the Fourth Proportional to 541.38, 812.08 and 297.78

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Solution

The fourth proportional to 541.38, 812.08 and 297.78 is: 446.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.38 : 812.08 = 297.78 : x
  2. Step 2: Convert to fraction form
    541.38/812.08 = 297.78/x
  3. Step 3: Cross multiply
    541.38x = 812.08 × 297.78
  4. Step 4: Simplify right side
    541.38x = 241,816.83
  5. Step 5: Solve for x
    x = 241,816.83/541.38
  6. Step 6: Final answer
    x = 446.66

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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.