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Finding the Fourth Proportional to 243.51, 333.72 and 243.10

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Solution

The fourth proportional to 243.51, 333.72 and 243.10 is: 333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.51 : 333.72 = 243.10 : x
  2. Step 2: Convert to fraction form
    243.51/333.72 = 243.10/x
  3. Step 3: Cross multiply
    243.51x = 333.72 × 243.10
  4. Step 4: Simplify right side
    243.51x = 81,127.75
  5. Step 5: Solve for x
    x = 81,127.75/243.51
  6. Step 6: Final answer
    x = 333.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.