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Finding the Fourth Proportional to 344.99, 476.08 and 197.61

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Solution

The fourth proportional to 344.99, 476.08 and 197.61 is: 272.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.99 : 476.08 = 197.61 : x
  2. Step 2: Convert to fraction form
    344.99/476.08 = 197.61/x
  3. Step 3: Cross multiply
    344.99x = 476.08 × 197.61
  4. Step 4: Simplify right side
    344.99x = 94,075.89
  5. Step 5: Solve for x
    x = 94,075.89/344.99
  6. Step 6: Final answer
    x = 272.69

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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.