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Finding the Fourth Proportional to 384.69, 579.73 and 346.22

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Solution

The fourth proportional to 384.69, 579.73 and 346.22 is: 521.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.69 : 579.73 = 346.22 : x
  2. Step 2: Convert to fraction form
    384.69/579.73 = 346.22/x
  3. Step 3: Cross multiply
    384.69x = 579.73 × 346.22
  4. Step 4: Simplify right side
    384.69x = 200,714.12
  5. Step 5: Solve for x
    x = 200,714.12/384.69
  6. Step 6: Final answer
    x = 521.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.