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Finding the Fourth Proportional to 345.33, 477.78 and 301.75

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Solution

The fourth proportional to 345.33, 477.78 and 301.75 is: 417.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.33 : 477.78 = 301.75 : x
  2. Step 2: Convert to fraction form
    345.33/477.78 = 301.75/x
  3. Step 3: Cross multiply
    345.33x = 477.78 × 301.75
  4. Step 4: Simplify right side
    345.33x = 144,170.12
  5. Step 5: Solve for x
    x = 144,170.12/345.33
  6. Step 6: Final answer
    x = 417.49

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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.