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Finding the Fourth Proportional to 389.72, 581.76 and 334.28

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Solution

The fourth proportional to 389.72, 581.76 and 334.28 is: 499.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.72 : 581.76 = 334.28 : x
  2. Step 2: Convert to fraction form
    389.72/581.76 = 334.28/x
  3. Step 3: Cross multiply
    389.72x = 581.76 × 334.28
  4. Step 4: Simplify right side
    389.72x = 194,467.82
  5. Step 5: Solve for x
    x = 194,467.82/389.72
  6. Step 6: Final answer
    x = 499.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.