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Finding the Fourth Proportional to 345.15, 476.29 and 197.68

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Solution

The fourth proportional to 345.15, 476.29 and 197.68 is: 272.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.15 : 476.29 = 197.68 : x
  2. Step 2: Convert to fraction form
    345.15/476.29 = 197.68/x
  3. Step 3: Cross multiply
    345.15x = 476.29 × 197.68
  4. Step 4: Simplify right side
    345.15x = 94,153.01
  5. Step 5: Solve for x
    x = 94,153.01/345.15
  6. Step 6: Final answer
    x = 272.79

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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.