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Finding the Fourth Proportional to 442.85, 610.92 and 295.68

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Solution

The fourth proportional to 442.85, 610.92 and 295.68 is: 407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.85 : 610.92 = 295.68 : x
  2. Step 2: Convert to fraction form
    442.85/610.92 = 295.68/x
  3. Step 3: Cross multiply
    442.85x = 610.92 × 295.68
  4. Step 4: Simplify right side
    442.85x = 180,638.28
  5. Step 5: Solve for x
    x = 180,638.28/442.85
  6. Step 6: Final answer
    x = 407.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.