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Finding the Fourth Proportional to 210.66, 316.19 and 101.12

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Solution

The fourth proportional to 210.66, 316.19 and 101.12 is: 151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.66 : 316.19 = 101.12 : x
  2. Step 2: Convert to fraction form
    210.66/316.19 = 101.12/x
  3. Step 3: Cross multiply
    210.66x = 316.19 × 101.12
  4. Step 4: Simplify right side
    210.66x = 31,971.05
  5. Step 5: Solve for x
    x = 31,971.05/210.66
  6. Step 6: Final answer
    x = 151.77

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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.