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Finding the Fourth Proportional to 243.33, 364.91 and 97.08

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Solution

The fourth proportional to 243.33, 364.91 and 97.08 is: 145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.33 : 364.91 = 97.08 : x
  2. Step 2: Convert to fraction form
    243.33/364.91 = 97.08/x
  3. Step 3: Cross multiply
    243.33x = 364.91 × 97.08
  4. Step 4: Simplify right side
    243.33x = 35,424.98
  5. Step 5: Solve for x
    x = 35,424.98/243.33
  6. Step 6: Final answer
    x = 145.58

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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.