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Finding the Fourth Proportional to 66.42, 99.50 and 36.05

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Solution

The fourth proportional to 66.42, 99.50 and 36.05 is: 53.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.42 : 99.50 = 36.05 : x
  2. Step 2: Convert to fraction form
    66.42/99.50 = 36.05/x
  3. Step 3: Cross multiply
    66.42x = 99.50 × 36.05
  4. Step 4: Simplify right side
    66.42x = 3,586.30
  5. Step 5: Solve for x
    x = 3,586.30/66.42
  6. Step 6: Final answer
    x = 53.99

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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.