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Finding the Fourth Proportional to 245.49, 368.33 and 142.76

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Solution

The fourth proportional to 245.49, 368.33 and 142.76 is: 214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.49 : 368.33 = 142.76 : x
  2. Step 2: Convert to fraction form
    245.49/368.33 = 142.76/x
  3. Step 3: Cross multiply
    245.49x = 368.33 × 142.76
  4. Step 4: Simplify right side
    245.49x = 52,580.24
  5. Step 5: Solve for x
    x = 52,580.24/245.49
  6. Step 6: Final answer
    x = 214.18

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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.