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Finding the Fourth Proportional to 442.10, 664.35 and 389.30

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Solution

The fourth proportional to 442.10, 664.35 and 389.30 is: 585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.10 : 664.35 = 389.30 : x
  2. Step 2: Convert to fraction form
    442.10/664.35 = 389.30/x
  3. Step 3: Cross multiply
    442.10x = 664.35 × 389.30
  4. Step 4: Simplify right side
    442.10x = 258,631.46
  5. Step 5: Solve for x
    x = 258,631.46/442.10
  6. Step 6: Final answer
    x = 585.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.