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Finding the Fourth Proportional to 360.29, 497.28 and 301.21

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Solution

The fourth proportional to 360.29, 497.28 and 301.21 is: 415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.29 : 497.28 = 301.21 : x
  2. Step 2: Convert to fraction form
    360.29/497.28 = 301.21/x
  3. Step 3: Cross multiply
    360.29x = 497.28 × 301.21
  4. Step 4: Simplify right side
    360.29x = 149,785.71
  5. Step 5: Solve for x
    x = 149,785.71/360.29
  6. Step 6: Final answer
    x = 415.74

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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.