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Finding the Fourth Proportional to 245.76, 368.46 and 142.92

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Solution

The fourth proportional to 245.76, 368.46 and 142.92 is: 214.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.76 : 368.46 = 142.92 : x
  2. Step 2: Convert to fraction form
    245.76/368.46 = 142.92/x
  3. Step 3: Cross multiply
    245.76x = 368.46 × 142.92
  4. Step 4: Simplify right side
    245.76x = 52,660.30
  5. Step 5: Solve for x
    x = 52,660.30/245.76
  6. Step 6: Final answer
    x = 214.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.