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Finding the Fourth Proportional to 360.45, 496.33 and 307.60

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Solution

The fourth proportional to 360.45, 496.33 and 307.60 is: 423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.45 : 496.33 = 307.60 : x
  2. Step 2: Convert to fraction form
    360.45/496.33 = 307.60/x
  3. Step 3: Cross multiply
    360.45x = 496.33 × 307.60
  4. Step 4: Simplify right side
    360.45x = 152,669.10
  5. Step 5: Solve for x
    x = 152,669.10/360.45
  6. Step 6: Final answer
    x = 423.55

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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.