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Finding the Fourth Proportional to 243.02, 335.25 and 155.63

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Solution

The fourth proportional to 243.02, 335.25 and 155.63 is: 214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.02 : 335.25 = 155.63 : x
  2. Step 2: Convert to fraction form
    243.02/335.25 = 155.63/x
  3. Step 3: Cross multiply
    243.02x = 335.25 × 155.63
  4. Step 4: Simplify right side
    243.02x = 52,173.28
  5. Step 5: Solve for x
    x = 52,173.28/243.02
  6. Step 6: Final answer
    x = 214.69

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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.