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Finding the Fourth Proportional to 393.83, 541.98 and 383.66

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Solution

The fourth proportional to 393.83, 541.98 and 383.66 is: 527.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.83 : 541.98 = 383.66 : x
  2. Step 2: Convert to fraction form
    393.83/541.98 = 383.66/x
  3. Step 3: Cross multiply
    393.83x = 541.98 × 383.66
  4. Step 4: Simplify right side
    393.83x = 207,933.34
  5. Step 5: Solve for x
    x = 207,933.34/393.83
  6. Step 6: Final answer
    x = 527.98

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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.