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Finding the Fourth Proportional to 460.50, 691.06 and 171.94

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Solution

The fourth proportional to 460.50, 691.06 and 171.94 is: 258.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.50 : 691.06 = 171.94 : x
  2. Step 2: Convert to fraction form
    460.50/691.06 = 171.94/x
  3. Step 3: Cross multiply
    460.50x = 691.06 × 171.94
  4. Step 4: Simplify right side
    460.50x = 118,820.86
  5. Step 5: Solve for x
    x = 118,820.86/460.50
  6. Step 6: Final answer
    x = 258.03

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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.