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Finding the Fourth Proportional to 468.76, 702.96 and 208.66

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Solution

The fourth proportional to 468.76, 702.96 and 208.66 is: 312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.76 : 702.96 = 208.66 : x
  2. Step 2: Convert to fraction form
    468.76/702.96 = 208.66/x
  3. Step 3: Cross multiply
    468.76x = 702.96 × 208.66
  4. Step 4: Simplify right side
    468.76x = 146,679.63
  5. Step 5: Solve for x
    x = 146,679.63/468.76
  6. Step 6: Final answer
    x = 312.91

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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.