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Finding the Fourth Proportional to 145.55, 218.23 and 81.47

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Solution

The fourth proportional to 145.55, 218.23 and 81.47 is: 122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.55 : 218.23 = 81.47 : x
  2. Step 2: Convert to fraction form
    145.55/218.23 = 81.47/x
  3. Step 3: Cross multiply
    145.55x = 218.23 × 81.47
  4. Step 4: Simplify right side
    145.55x = 17,777.70
  5. Step 5: Solve for x
    x = 17,777.70/145.55
  6. Step 6: Final answer
    x = 122.15

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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.