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Finding the Fourth Proportional to 360.08, 495.07 and 320.35

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Solution

The fourth proportional to 360.08, 495.07 and 320.35 is: 440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.08 : 495.07 = 320.35 : x
  2. Step 2: Convert to fraction form
    360.08/495.07 = 320.35/x
  3. Step 3: Cross multiply
    360.08x = 495.07 × 320.35
  4. Step 4: Simplify right side
    360.08x = 158,595.67
  5. Step 5: Solve for x
    x = 158,595.67/360.08
  6. Step 6: Final answer
    x = 440.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.