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Finding the Fourth Proportional to 293.01, 437.78 and 281.67

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Solution

The fourth proportional to 293.01, 437.78 and 281.67 is: 420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.01 : 437.78 = 281.67 : x
  2. Step 2: Convert to fraction form
    293.01/437.78 = 281.67/x
  3. Step 3: Cross multiply
    293.01x = 437.78 × 281.67
  4. Step 4: Simplify right side
    293.01x = 123,309.49
  5. Step 5: Solve for x
    x = 123,309.49/293.01
  6. Step 6: Final answer
    x = 420.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.