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Finding the Fourth Proportional to 460.51, 690.55 and 167.81

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Solution

The fourth proportional to 460.51, 690.55 and 167.81 is: 251.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.51 : 690.55 = 167.81 : x
  2. Step 2: Convert to fraction form
    460.51/690.55 = 167.81/x
  3. Step 3: Cross multiply
    460.51x = 690.55 × 167.81
  4. Step 4: Simplify right side
    460.51x = 115,876.90
  5. Step 5: Solve for x
    x = 115,876.90/460.51
  6. Step 6: Final answer
    x = 251.63

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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.