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Finding the Fourth Proportional to 465.39, 642.25 and 266.26

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Solution

The fourth proportional to 465.39, 642.25 and 266.26 is: 367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.39 : 642.25 = 266.26 : x
  2. Step 2: Convert to fraction form
    465.39/642.25 = 266.26/x
  3. Step 3: Cross multiply
    465.39x = 642.25 × 266.26
  4. Step 4: Simplify right side
    465.39x = 171,005.76
  5. Step 5: Solve for x
    x = 171,005.76/465.39
  6. Step 6: Final answer
    x = 367.45

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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.