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Finding the Fourth Proportional to 345.04, 476.07 and 197.65

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Solution

The fourth proportional to 345.04, 476.07 and 197.65 is: 272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.04 : 476.07 = 197.65 : x
  2. Step 2: Convert to fraction form
    345.04/476.07 = 197.65/x
  3. Step 3: Cross multiply
    345.04x = 476.07 × 197.65
  4. Step 4: Simplify right side
    345.04x = 94,095.24
  5. Step 5: Solve for x
    x = 94,095.24/345.04
  6. Step 6: Final answer
    x = 272.71

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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.