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Finding the Fourth Proportional to 245.12, 365.76 and 217.80

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Solution

The fourth proportional to 245.12, 365.76 and 217.80 is: 325.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.12 : 365.76 = 217.80 : x
  2. Step 2: Convert to fraction form
    245.12/365.76 = 217.80/x
  3. Step 3: Cross multiply
    245.12x = 365.76 × 217.80
  4. Step 4: Simplify right side
    245.12x = 79,662.53
  5. Step 5: Solve for x
    x = 79,662.53/245.12
  6. Step 6: Final answer
    x = 325.00

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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.