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Finding the Fourth Proportional to 294.00, 440.74 and 139.85

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Solution

The fourth proportional to 294.00, 440.74 and 139.85 is: 209.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.00 : 440.74 = 139.85 : x
  2. Step 2: Convert to fraction form
    294.00/440.74 = 139.85/x
  3. Step 3: Cross multiply
    294.00x = 440.74 × 139.85
  4. Step 4: Simplify right side
    294.00x = 61,637.11
  5. Step 5: Solve for x
    x = 61,637.11/294.00
  6. Step 6: Final answer
    x = 209.65

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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.