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Finding the Fourth Proportional to 72.00, 99.50 and 54.50

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Solution

The fourth proportional to 72.00, 99.50 and 54.50 is: 75.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.00 : 99.50 = 54.50 : x
  2. Step 2: Convert to fraction form
    72.00/99.50 = 54.50/x
  3. Step 3: Cross multiply
    72.00x = 99.50 × 54.50
  4. Step 4: Simplify right side
    72.00x = 5,423.35
  5. Step 5: Solve for x
    x = 5,423.35/72.00
  6. Step 6: Final answer
    x = 75.32

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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.