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Finding the Fourth Proportional to 294.50, 438.64 and 279.08

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Solution

The fourth proportional to 294.50, 438.64 and 279.08 is: 415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.50 : 438.64 = 279.08 : x
  2. Step 2: Convert to fraction form
    294.50/438.64 = 279.08/x
  3. Step 3: Cross multiply
    294.50x = 438.64 × 279.08
  4. Step 4: Simplify right side
    294.50x = 122,415.65
  5. Step 5: Solve for x
    x = 122,415.65/294.50
  6. Step 6: Final answer
    x = 415.67

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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.