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Finding the Fourth Proportional to 210.98, 316.50 and 89.27

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Solution

The fourth proportional to 210.98, 316.50 and 89.27 is: 133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.98 : 316.50 = 89.27 : x
  2. Step 2: Convert to fraction form
    210.98/316.50 = 89.27/x
  3. Step 3: Cross multiply
    210.98x = 316.50 × 89.27
  4. Step 4: Simplify right side
    210.98x = 28,253.51
  5. Step 5: Solve for x
    x = 28,253.51/210.98
  6. Step 6: Final answer
    x = 133.92

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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.