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Finding the Fourth Proportional to 468.56, 702.90 and 194.62

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Solution

The fourth proportional to 468.56, 702.90 and 194.62 is: 291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.56 : 702.90 = 194.62 : x
  2. Step 2: Convert to fraction form
    468.56/702.90 = 194.62/x
  3. Step 3: Cross multiply
    468.56x = 702.90 × 194.62
  4. Step 4: Simplify right side
    468.56x = 136,798.40
  5. Step 5: Solve for x
    x = 136,798.40/468.56
  6. Step 6: Final answer
    x = 291.95

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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.