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Finding the Fourth Proportional to 442.91, 608.72 and 344.50

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Solution

The fourth proportional to 442.91, 608.72 and 344.50 is: 473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.91 : 608.72 = 344.50 : x
  2. Step 2: Convert to fraction form
    442.91/608.72 = 344.50/x
  3. Step 3: Cross multiply
    442.91x = 608.72 × 344.50
  4. Step 4: Simplify right side
    442.91x = 209,701.00
  5. Step 5: Solve for x
    x = 209,701.00/442.91
  6. Step 6: Final answer
    x = 473.46

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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.