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Finding the Fourth Proportional to 210.94, 316.45 and 64.68

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Solution

The fourth proportional to 210.94, 316.45 and 64.68 is: 97.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.94 : 316.45 = 64.68 : x
  2. Step 2: Convert to fraction form
    210.94/316.45 = 64.68/x
  3. Step 3: Cross multiply
    210.94x = 316.45 × 64.68
  4. Step 4: Simplify right side
    210.94x = 20,467.99
  5. Step 5: Solve for x
    x = 20,467.99/210.94
  6. Step 6: Final answer
    x = 97.03

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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.