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Finding the Fourth Proportional to 294.10, 438.54 and 274.24

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Solution

The fourth proportional to 294.10, 438.54 and 274.24 is: 408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.10 : 438.54 = 274.24 : x
  2. Step 2: Convert to fraction form
    294.10/438.54 = 274.24/x
  3. Step 3: Cross multiply
    294.10x = 438.54 × 274.24
  4. Step 4: Simplify right side
    294.10x = 120,265.21
  5. Step 5: Solve for x
    x = 120,265.21/294.10
  6. Step 6: Final answer
    x = 408.93

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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.