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Finding the Fourth Proportional to 465.40, 642.76 and 361.74

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Solution

The fourth proportional to 465.40, 642.76 and 361.74 is: 499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.40 : 642.76 = 361.74 : x
  2. Step 2: Convert to fraction form
    465.40/642.76 = 361.74/x
  3. Step 3: Cross multiply
    465.40x = 642.76 × 361.74
  4. Step 4: Simplify right side
    465.40x = 232,512.00
  5. Step 5: Solve for x
    x = 232,512.00/465.40
  6. Step 6: Final answer
    x = 499.60

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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.