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Finding the Fourth Proportional to 526.98, 727.26 and 294.09

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Solution

The fourth proportional to 526.98, 727.26 and 294.09 is: 405.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.98 : 727.26 = 294.09 : x
  2. Step 2: Convert to fraction form
    526.98/727.26 = 294.09/x
  3. Step 3: Cross multiply
    526.98x = 727.26 × 294.09
  4. Step 4: Simplify right side
    526.98x = 213,879.89
  5. Step 5: Solve for x
    x = 213,879.89/526.98
  6. Step 6: Final answer
    x = 405.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.