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Finding the Fourth Proportional to 294.66, 439.98 and 271.62

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Solution

The fourth proportional to 294.66, 439.98 and 271.62 is: 405.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.66 : 439.98 = 271.62 : x
  2. Step 2: Convert to fraction form
    294.66/439.98 = 271.62/x
  3. Step 3: Cross multiply
    294.66x = 439.98 × 271.62
  4. Step 4: Simplify right side
    294.66x = 119,507.37
  5. Step 5: Solve for x
    x = 119,507.37/294.66
  6. Step 6: Final answer
    x = 405.58

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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.