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Finding the Fourth Proportional to 294.24, 438.90 and 274.62

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Solution

The fourth proportional to 294.24, 438.90 and 274.62 is: 409.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.24 : 438.90 = 274.62 : x
  2. Step 2: Convert to fraction form
    294.24/438.90 = 274.62/x
  3. Step 3: Cross multiply
    294.24x = 438.90 × 274.62
  4. Step 4: Simplify right side
    294.24x = 120,530.72
  5. Step 5: Solve for x
    x = 120,530.72/294.24
  6. Step 6: Final answer
    x = 409.63

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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.