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Finding the Fourth Proportional to 345.74, 477.14 and 190.49

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Solution

The fourth proportional to 345.74, 477.14 and 190.49 is: 262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.74 : 477.14 = 190.49 : x
  2. Step 2: Convert to fraction form
    345.74/477.14 = 190.49/x
  3. Step 3: Cross multiply
    345.74x = 477.14 × 190.49
  4. Step 4: Simplify right side
    345.74x = 90,890.40
  5. Step 5: Solve for x
    x = 90,890.40/345.74
  6. Step 6: Final answer
    x = 262.89

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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.