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Finding the Fourth Proportional to 243.00, 364.52 and 89.00

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Solution

The fourth proportional to 243.00, 364.52 and 89.00 is: 133.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.00 : 364.52 = 89.00 : x
  2. Step 2: Convert to fraction form
    243.00/364.52 = 89.00/x
  3. Step 3: Cross multiply
    243.00x = 364.52 × 89.00
  4. Step 4: Simplify right side
    243.00x = 32,440.68
  5. Step 5: Solve for x
    x = 32,440.68/243.00
  6. Step 6: Final answer
    x = 133.50

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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.