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Finding the Fourth Proportional to 465.54, 642.24 and 360.66

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Solution

The fourth proportional to 465.54, 642.24 and 360.66 is: 497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.54 : 642.24 = 360.66 : x
  2. Step 2: Convert to fraction form
    465.54/642.24 = 360.66/x
  3. Step 3: Cross multiply
    465.54x = 642.24 × 360.66
  4. Step 4: Simplify right side
    465.54x = 231,630.28
  5. Step 5: Solve for x
    x = 231,630.28/465.54
  6. Step 6: Final answer
    x = 497.55

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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.