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Finding the Fourth Proportional to 310.98, 466.74 and 156.86

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Solution

The fourth proportional to 310.98, 466.74 and 156.86 is: 235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.98 : 466.74 = 156.86 : x
  2. Step 2: Convert to fraction form
    310.98/466.74 = 156.86/x
  3. Step 3: Cross multiply
    310.98x = 466.74 × 156.86
  4. Step 4: Simplify right side
    310.98x = 73,212.84
  5. Step 5: Solve for x
    x = 73,212.84/310.98
  6. Step 6: Final answer
    x = 235.43

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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.