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Finding the Fourth Proportional to 389.04, 579.66 and 378.72

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Solution

The fourth proportional to 389.04, 579.66 and 378.72 is: 564.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.04 : 579.66 = 378.72 : x
  2. Step 2: Convert to fraction form
    389.04/579.66 = 378.72/x
  3. Step 3: Cross multiply
    389.04x = 579.66 × 378.72
  4. Step 4: Simplify right side
    389.04x = 219,528.84
  5. Step 5: Solve for x
    x = 219,528.84/389.04
  6. Step 6: Final answer
    x = 564.28

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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.