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Finding the Fourth Proportional to 460.65, 689.94 and 216.66

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Solution

The fourth proportional to 460.65, 689.94 and 216.66 is: 324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.65 : 689.94 = 216.66 : x
  2. Step 2: Convert to fraction form
    460.65/689.94 = 216.66/x
  3. Step 3: Cross multiply
    460.65x = 689.94 × 216.66
  4. Step 4: Simplify right side
    460.65x = 149,482.40
  5. Step 5: Solve for x
    x = 149,482.40/460.65
  6. Step 6: Final answer
    x = 324.50

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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.