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Finding the Fourth Proportional to 210.67, 316.22 and 88.98

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Solution

The fourth proportional to 210.67, 316.22 and 88.98 is: 133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.67 : 316.22 = 88.98 : x
  2. Step 2: Convert to fraction form
    210.67/316.22 = 88.98/x
  3. Step 3: Cross multiply
    210.67x = 316.22 × 88.98
  4. Step 4: Simplify right side
    210.67x = 28,137.26
  5. Step 5: Solve for x
    x = 28,137.26/210.67
  6. Step 6: Final answer
    x = 133.56

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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.