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Finding the Fourth Proportional to 245.73, 368.26 and 142.80

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Solution

The fourth proportional to 245.73, 368.26 and 142.80 is: 214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.73 : 368.26 = 142.80 : x
  2. Step 2: Convert to fraction form
    245.73/368.26 = 142.80/x
  3. Step 3: Cross multiply
    245.73x = 368.26 × 142.80
  4. Step 4: Simplify right side
    245.73x = 52,587.53
  5. Step 5: Solve for x
    x = 52,587.53/245.73
  6. Step 6: Final answer
    x = 214.01

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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.