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Finding the Fourth Proportional to 210.07, 289.85 and 136.39

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Solution

The fourth proportional to 210.07, 289.85 and 136.39 is: 188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.07 : 289.85 = 136.39 : x
  2. Step 2: Convert to fraction form
    210.07/289.85 = 136.39/x
  3. Step 3: Cross multiply
    210.07x = 289.85 × 136.39
  4. Step 4: Simplify right side
    210.07x = 39,531.96
  5. Step 5: Solve for x
    x = 39,531.96/210.07
  6. Step 6: Final answer
    x = 188.18

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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.