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Finding the Fourth Proportional to 145.35, 217.80 and 122.40

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Solution

The fourth proportional to 145.35, 217.80 and 122.40 is: 183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.35 : 217.80 = 122.40 : x
  2. Step 2: Convert to fraction form
    145.35/217.80 = 122.40/x
  3. Step 3: Cross multiply
    145.35x = 217.80 × 122.40
  4. Step 4: Simplify right side
    145.35x = 26,658.72
  5. Step 5: Solve for x
    x = 26,658.72/145.35
  6. Step 6: Final answer
    x = 183.41

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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.