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Finding the Fourth Proportional to 145.76, 201.12 and 122.40

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Solution

The fourth proportional to 145.76, 201.12 and 122.40 is: 168.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.76 : 201.12 = 122.40 : x
  2. Step 2: Convert to fraction form
    145.76/201.12 = 122.40/x
  3. Step 3: Cross multiply
    145.76x = 201.12 × 122.40
  4. Step 4: Simplify right side
    145.76x = 24,617.09
  5. Step 5: Solve for x
    x = 24,617.09/145.76
  6. Step 6: Final answer
    x = 168.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.