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Finding the Fourth Proportional to 468.16, 702.24 and 143.56

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Solution

The fourth proportional to 468.16, 702.24 and 143.56 is: 215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.16 : 702.24 = 143.56 : x
  2. Step 2: Convert to fraction form
    468.16/702.24 = 143.56/x
  3. Step 3: Cross multiply
    468.16x = 702.24 × 143.56
  4. Step 4: Simplify right side
    468.16x = 100,813.57
  5. Step 5: Solve for x
    x = 100,813.57/468.16
  6. Step 6: Final answer
    x = 215.34

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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.