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Finding the Fourth Proportional to 642.36, 963.36 and 180.12

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Solution

The fourth proportional to 642.36, 963.36 and 180.12 is: 270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.36 : 963.36 = 180.12 : x
  2. Step 2: Convert to fraction form
    642.36/963.36 = 180.12/x
  3. Step 3: Cross multiply
    642.36x = 963.36 × 180.12
  4. Step 4: Simplify right side
    642.36x = 173,520.40
  5. Step 5: Solve for x
    x = 173,520.40/642.36
  6. Step 6: Final answer
    x = 270.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.