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Finding the Fourth Proportional to 216.68, 322.79 and 210.30

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Solution

The fourth proportional to 216.68, 322.79 and 210.30 is: 313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.68 : 322.79 = 210.30 : x
  2. Step 2: Convert to fraction form
    216.68/322.79 = 210.30/x
  3. Step 3: Cross multiply
    216.68x = 322.79 × 210.30
  4. Step 4: Simplify right side
    216.68x = 67,880.48
  5. Step 5: Solve for x
    x = 67,880.48/216.68
  6. Step 6: Final answer
    x = 313.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.