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Finding the Fourth Proportional to 294.68, 439.85 and 270.34

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Solution

The fourth proportional to 294.68, 439.85 and 270.34 is: 403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.68 : 439.85 = 270.34 : x
  2. Step 2: Convert to fraction form
    294.68/439.85 = 270.34/x
  3. Step 3: Cross multiply
    294.68x = 439.85 × 270.34
  4. Step 4: Simplify right side
    294.68x = 118,908.63
  5. Step 5: Solve for x
    x = 118,908.63/294.68
  6. Step 6: Final answer
    x = 403.51

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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.