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Finding the Fourth Proportional to 465.25, 642.02 and 266.07

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Solution

The fourth proportional to 465.25, 642.02 and 266.07 is: 367.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.25 : 642.02 = 266.07 : x
  2. Step 2: Convert to fraction form
    465.25/642.02 = 266.07/x
  3. Step 3: Cross multiply
    465.25x = 642.02 × 266.07
  4. Step 4: Simplify right side
    465.25x = 170,820.93
  5. Step 5: Solve for x
    x = 170,820.93/465.25
  6. Step 6: Final answer
    x = 367.16

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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.