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Finding the Fourth Proportional to 242.90, 335.17 and 138.00

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Solution

The fourth proportional to 242.90, 335.17 and 138.00 is: 190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.90 : 335.17 = 138.00 : x
  2. Step 2: Convert to fraction form
    242.90/335.17 = 138.00/x
  3. Step 3: Cross multiply
    242.90x = 335.17 × 138.00
  4. Step 4: Simplify right side
    242.90x = 46,254.89
  5. Step 5: Solve for x
    x = 46,254.89/242.90
  6. Step 6: Final answer
    x = 190.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.