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Finding the Fourth Proportional to 460.19, 689.95 and 216.58

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Solution

The fourth proportional to 460.19, 689.95 and 216.58 is: 324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.19 : 689.95 = 216.58 : x
  2. Step 2: Convert to fraction form
    460.19/689.95 = 216.58/x
  3. Step 3: Cross multiply
    460.19x = 689.95 × 216.58
  4. Step 4: Simplify right side
    460.19x = 149,429.37
  5. Step 5: Solve for x
    x = 149,429.37/460.19
  6. Step 6: Final answer
    x = 324.71

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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.