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Finding the Fourth Proportional to 465.18, 642.02 and 266.08

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Solution

The fourth proportional to 465.18, 642.02 and 266.08 is: 367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.18 : 642.02 = 266.08 : x
  2. Step 2: Convert to fraction form
    465.18/642.02 = 266.08/x
  3. Step 3: Cross multiply
    465.18x = 642.02 × 266.08
  4. Step 4: Simplify right side
    465.18x = 170,828.68
  5. Step 5: Solve for x
    x = 170,828.68/465.18
  6. Step 6: Final answer
    x = 367.23

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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.