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Finding the Fourth Proportional to 1,342.54, 2,013.48 and 368.38

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Solution

The fourth proportional to 1,342.54, 2,013.48 and 368.38 is: 552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.54 : 2,013.48 = 368.38 : x
  2. Step 2: Convert to fraction form
    1,342.54/2,013.48 = 368.38/x
  3. Step 3: Cross multiply
    1,342.54x = 2,013.48 × 368.38
  4. Step 4: Simplify right side
    1,342.54x = 741,725.76
  5. Step 5: Solve for x
    x = 741,725.76/1,342.54
  6. Step 6: Final answer
    x = 552.48

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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.