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Finding the Fourth Proportional to 465.24, 640.26 and 348.60

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Solution

The fourth proportional to 465.24, 640.26 and 348.60 is: 479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.24 : 640.26 = 348.60 : x
  2. Step 2: Convert to fraction form
    465.24/640.26 = 348.60/x
  3. Step 3: Cross multiply
    465.24x = 640.26 × 348.60
  4. Step 4: Simplify right side
    465.24x = 223,194.64
  5. Step 5: Solve for x
    x = 223,194.64/465.24
  6. Step 6: Final answer
    x = 479.74

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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.