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Finding the Fourth Proportional to 442.08, 606.72 and 405.12

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Solution

The fourth proportional to 442.08, 606.72 and 405.12 is: 556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.08 : 606.72 = 405.12 : x
  2. Step 2: Convert to fraction form
    442.08/606.72 = 405.12/x
  3. Step 3: Cross multiply
    442.08x = 606.72 × 405.12
  4. Step 4: Simplify right side
    442.08x = 245,794.41
  5. Step 5: Solve for x
    x = 245,794.41/442.08
  6. Step 6: Final answer
    x = 556.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.