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Finding the Fourth Proportional to 210.07, 289.78 and 144.55

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Solution

The fourth proportional to 210.07, 289.78 and 144.55 is: 199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.07 : 289.78 = 144.55 : x
  2. Step 2: Convert to fraction form
    210.07/289.78 = 144.55/x
  3. Step 3: Cross multiply
    210.07x = 289.78 × 144.55
  4. Step 4: Simplify right side
    210.07x = 41,887.70
  5. Step 5: Solve for x
    x = 41,887.70/210.07
  6. Step 6: Final answer
    x = 199.40

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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.