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Finding the Fourth Proportional to 210.60, 313.20 and 194.40

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Solution

The fourth proportional to 210.60, 313.20 and 194.40 is: 289.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.60 : 313.20 = 194.40 : x
  2. Step 2: Convert to fraction form
    210.60/313.20 = 194.40/x
  3. Step 3: Cross multiply
    210.60x = 313.20 × 194.40
  4. Step 4: Simplify right side
    210.60x = 60,886.08
  5. Step 5: Solve for x
    x = 60,886.08/210.60
  6. Step 6: Final answer
    x = 289.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.