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Finding the Fourth Proportional to 466.17, 698.82 and 157.81

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Solution

The fourth proportional to 466.17, 698.82 and 157.81 is: 236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.17 : 698.82 = 157.81 : x
  2. Step 2: Convert to fraction form
    466.17/698.82 = 157.81/x
  3. Step 3: Cross multiply
    466.17x = 698.82 × 157.81
  4. Step 4: Simplify right side
    466.17x = 110,280.64
  5. Step 5: Solve for x
    x = 110,280.64/466.17
  6. Step 6: Final answer
    x = 236.57

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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.