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Finding the Fourth Proportional to 401.69, 552.20 and 345.46

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Solution

The fourth proportional to 401.69, 552.20 and 345.46 is: 474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.69 : 552.20 = 345.46 : x
  2. Step 2: Convert to fraction form
    401.69/552.20 = 345.46/x
  3. Step 3: Cross multiply
    401.69x = 552.20 × 345.46
  4. Step 4: Simplify right side
    401.69x = 190,763.53
  5. Step 5: Solve for x
    x = 190,763.53/401.69
  6. Step 6: Final answer
    x = 474.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.