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Finding the Fourth Proportional to 210.13, 289.88 and 131.39

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Solution

The fourth proportional to 210.13, 289.88 and 131.39 is: 181.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.13 : 289.88 = 131.39 : x
  2. Step 2: Convert to fraction form
    210.13/289.88 = 131.39/x
  3. Step 3: Cross multiply
    210.13x = 289.88 × 131.39
  4. Step 4: Simplify right side
    210.13x = 38,087.40
  5. Step 5: Solve for x
    x = 38,087.40/210.13
  6. Step 6: Final answer
    x = 181.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.