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Finding the Fourth Proportional to 66.69, 91.98 and 40.77

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Solution

The fourth proportional to 66.69, 91.98 and 40.77 is: 56.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.69 : 91.98 = 40.77 : x
  2. Step 2: Convert to fraction form
    66.69/91.98 = 40.77/x
  3. Step 3: Cross multiply
    66.69x = 91.98 × 40.77
  4. Step 4: Simplify right side
    66.69x = 3,750.02
  5. Step 5: Solve for x
    x = 3,750.02/66.69
  6. Step 6: Final answer
    x = 56.23

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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.