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Finding the Fourth Proportional to 393.64, 546.49 and 381.76

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Solution

The fourth proportional to 393.64, 546.49 and 381.76 is: 530.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.64 : 546.49 = 381.76 : x
  2. Step 2: Convert to fraction form
    393.64/546.49 = 381.76/x
  3. Step 3: Cross multiply
    393.64x = 546.49 × 381.76
  4. Step 4: Simplify right side
    393.64x = 208,628.02
  5. Step 5: Solve for x
    x = 208,628.02/393.64
  6. Step 6: Final answer
    x = 530.00

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.