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Finding the Fourth Proportional to 478.24, 659.41 and 360.05

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Solution

The fourth proportional to 478.24, 659.41 and 360.05 is: 496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.24 : 659.41 = 360.05 : x
  2. Step 2: Convert to fraction form
    478.24/659.41 = 360.05/x
  3. Step 3: Cross multiply
    478.24x = 659.41 × 360.05
  4. Step 4: Simplify right side
    478.24x = 237,416.37
  5. Step 5: Solve for x
    x = 237,416.37/478.24
  6. Step 6: Final answer
    x = 496.44

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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.