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Finding the Fourth Proportional to 66.63, 99.78 and 40.98

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Solution

The fourth proportional to 66.63, 99.78 and 40.98 is: 61.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.63 : 99.78 = 40.98 : x
  2. Step 2: Convert to fraction form
    66.63/99.78 = 40.98/x
  3. Step 3: Cross multiply
    66.63x = 99.78 × 40.98
  4. Step 4: Simplify right side
    66.63x = 4,088.98
  5. Step 5: Solve for x
    x = 4,088.98/66.63
  6. Step 6: Final answer
    x = 61.37

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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.