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Finding the Fourth Proportional to 465.68, 640.40 and 376.08

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Solution

The fourth proportional to 465.68, 640.40 and 376.08 is: 517.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.68 : 640.40 = 376.08 : x
  2. Step 2: Convert to fraction form
    465.68/640.40 = 376.08/x
  3. Step 3: Cross multiply
    465.68x = 640.40 × 376.08
  4. Step 4: Simplify right side
    465.68x = 240,841.63
  5. Step 5: Solve for x
    x = 240,841.63/465.68
  6. Step 6: Final answer
    x = 517.18

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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.