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Finding the Fourth Proportional to 245.54, 366.40 and 230.02

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Solution

The fourth proportional to 245.54, 366.40 and 230.02 is: 343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.54 : 366.40 = 230.02 : x
  2. Step 2: Convert to fraction form
    245.54/366.40 = 230.02/x
  3. Step 3: Cross multiply
    245.54x = 366.40 × 230.02
  4. Step 4: Simplify right side
    245.54x = 84,279.33
  5. Step 5: Solve for x
    x = 84,279.33/245.54
  6. Step 6: Final answer
    x = 343.24

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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.