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Finding the Fourth Proportional to 460.12, 689.56 and 216.10

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Solution

The fourth proportional to 460.12, 689.56 and 216.10 is: 323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.12 : 689.56 = 216.10 : x
  2. Step 2: Convert to fraction form
    460.12/689.56 = 216.10/x
  3. Step 3: Cross multiply
    460.12x = 689.56 × 216.10
  4. Step 4: Simplify right side
    460.12x = 149,013.92
  5. Step 5: Solve for x
    x = 149,013.92/460.12
  6. Step 6: Final answer
    x = 323.86

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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.