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Finding the Fourth Proportional to 66.14, 98.85 and 52.63

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Solution

The fourth proportional to 66.14, 98.85 and 52.63 is: 78.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.14 : 98.85 = 52.63 : x
  2. Step 2: Convert to fraction form
    66.14/98.85 = 52.63/x
  3. Step 3: Cross multiply
    66.14x = 98.85 × 52.63
  4. Step 4: Simplify right side
    66.14x = 5,202.48
  5. Step 5: Solve for x
    x = 5,202.48/66.14
  6. Step 6: Final answer
    x = 78.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.