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Finding the Fourth Proportional to 401.07, 552.33 and 302.70

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Solution

The fourth proportional to 401.07, 552.33 and 302.70 is: 416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.07 : 552.33 = 302.70 : x
  2. Step 2: Convert to fraction form
    401.07/552.33 = 302.70/x
  3. Step 3: Cross multiply
    401.07x = 552.33 × 302.70
  4. Step 4: Simplify right side
    401.07x = 167,190.29
  5. Step 5: Solve for x
    x = 167,190.29/401.07
  6. Step 6: Final answer
    x = 416.86

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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.