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Finding the Fourth Proportional to 1,342.43, 2,013.62 and 368.50

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Solution

The fourth proportional to 1,342.43, 2,013.62 and 368.50 is: 552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.43 : 2,013.62 = 368.50 : x
  2. Step 2: Convert to fraction form
    1,342.43/2,013.62 = 368.50/x
  3. Step 3: Cross multiply
    1,342.43x = 2,013.62 × 368.50
  4. Step 4: Simplify right side
    1,342.43x = 742,008.90
  5. Step 5: Solve for x
    x = 742,008.90/1,342.43
  6. Step 6: Final answer
    x = 552.74

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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.