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Finding the Fourth Proportional to 460.10, 690.26 and 216.29

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Solution

The fourth proportional to 460.10, 690.26 and 216.29 is: 324.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.10 : 690.26 = 216.29 : x
  2. Step 2: Convert to fraction form
    460.10/690.26 = 216.29/x
  3. Step 3: Cross multiply
    460.10x = 690.26 × 216.29
  4. Step 4: Simplify right side
    460.10x = 149,296.98
  5. Step 5: Solve for x
    x = 149,296.98/460.10
  6. Step 6: Final answer
    x = 324.49

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1.5x scale

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.