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Finding the Fourth Proportional to 468.89, 702.87 and 209.03

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Solution

The fourth proportional to 468.89, 702.87 and 209.03 is: 313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.89 : 702.87 = 209.03 : x
  2. Step 2: Convert to fraction form
    468.89/702.87 = 209.03/x
  3. Step 3: Cross multiply
    468.89x = 702.87 × 209.03
  4. Step 4: Simplify right side
    468.89x = 146,920.92
  5. Step 5: Solve for x
    x = 146,920.92/468.89
  6. Step 6: Final answer
    x = 313.34

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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.