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Finding the Fourth Proportional to 245.76, 366.88 and 213.28

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Solution

The fourth proportional to 245.76, 366.88 and 213.28 is: 318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.76 : 366.88 = 213.28 : x
  2. Step 2: Convert to fraction form
    245.76/366.88 = 213.28/x
  3. Step 3: Cross multiply
    245.76x = 366.88 × 213.28
  4. Step 4: Simplify right side
    245.76x = 78,248.17
  5. Step 5: Solve for x
    x = 78,248.17/245.76
  6. Step 6: Final answer
    x = 318.39

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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.