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Finding the Fourth Proportional to 145.85, 218.30 and 77.27

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Solution

The fourth proportional to 145.85, 218.30 and 77.27 is: 115.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.85 : 218.30 = 77.27 : x
  2. Step 2: Convert to fraction form
    145.85/218.30 = 77.27/x
  3. Step 3: Cross multiply
    145.85x = 218.30 × 77.27
  4. Step 4: Simplify right side
    145.85x = 16,868.04
  5. Step 5: Solve for x
    x = 16,868.04/145.85
  6. Step 6: Final answer
    x = 115.66

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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.