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Finding the Fourth Proportional to 92.90, 139.99 and 77.00

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Solution

The fourth proportional to 92.90, 139.99 and 77.00 is: 116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.90 : 139.99 = 77.00 : x
  2. Step 2: Convert to fraction form
    92.90/139.99 = 77.00/x
  3. Step 3: Cross multiply
    92.90x = 139.99 × 77.00
  4. Step 4: Simplify right side
    92.90x = 10,779.57
  5. Step 5: Solve for x
    x = 10,779.57/92.90
  6. Step 6: Final answer
    x = 116.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.