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Finding the Fourth Proportional to 442.80, 610.67 and 295.52

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Solution

The fourth proportional to 442.80, 610.67 and 295.52 is: 407.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.80 : 610.67 = 295.52 : x
  2. Step 2: Convert to fraction form
    442.80/610.67 = 295.52/x
  3. Step 3: Cross multiply
    442.80x = 610.67 × 295.52
  4. Step 4: Simplify right side
    442.80x = 180,462.88
  5. Step 5: Solve for x
    x = 180,462.88/442.80
  6. Step 6: Final answer
    x = 407.55

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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.