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Finding the Fourth Proportional to 538.20, 805.32 and 294.96

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Solution

The fourth proportional to 538.20, 805.32 and 294.96 is: 441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.20 : 805.32 = 294.96 : x
  2. Step 2: Convert to fraction form
    538.20/805.32 = 294.96/x
  3. Step 3: Cross multiply
    538.20x = 805.32 × 294.96
  4. Step 4: Simplify right side
    538.20x = 237,537.19
  5. Step 5: Solve for x
    x = 237,537.19/538.20
  6. Step 6: Final answer
    x = 441.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.