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Finding the Fourth Proportional to 442.53, 610.80 and 293.19

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Solution

The fourth proportional to 442.53, 610.80 and 293.19 is: 404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.53 : 610.80 = 293.19 : x
  2. Step 2: Convert to fraction form
    442.53/610.80 = 293.19/x
  3. Step 3: Cross multiply
    442.53x = 610.80 × 293.19
  4. Step 4: Simplify right side
    442.53x = 179,077.06
  5. Step 5: Solve for x
    x = 179,077.06/442.53
  6. Step 6: Final answer
    x = 404.67

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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.