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Finding the Fourth Proportional to 465.67, 642.50 and 266.50

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Solution

The fourth proportional to 465.67, 642.50 and 266.50 is: 367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.67 : 642.50 = 266.50 : x
  2. Step 2: Convert to fraction form
    465.67/642.50 = 266.50/x
  3. Step 3: Cross multiply
    465.67x = 642.50 × 266.50
  4. Step 4: Simplify right side
    465.67x = 171,224.92
  5. Step 5: Solve for x
    x = 171,224.92/465.67
  6. Step 6: Final answer
    x = 367.70

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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.