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Finding the Fourth Proportional to 360.10, 497.03 and 301.03

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Solution

The fourth proportional to 360.10, 497.03 and 301.03 is: 415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.10 : 497.03 = 301.03 : x
  2. Step 2: Convert to fraction form
    360.10/497.03 = 301.03/x
  3. Step 3: Cross multiply
    360.10x = 497.03 × 301.03
  4. Step 4: Simplify right side
    360.10x = 149,618.19
  5. Step 5: Solve for x
    x = 149,618.19/360.10
  6. Step 6: Final answer
    x = 415.49

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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.