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Finding the Fourth Proportional to 145.40, 216.64 and 142.97

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Solution

The fourth proportional to 145.40, 216.64 and 142.97 is: 213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.40 : 216.64 = 142.97 : x
  2. Step 2: Convert to fraction form
    145.40/216.64 = 142.97/x
  3. Step 3: Cross multiply
    145.40x = 216.64 × 142.97
  4. Step 4: Simplify right side
    145.40x = 30,972.12
  5. Step 5: Solve for x
    x = 30,972.12/145.40
  6. Step 6: Final answer
    x = 213.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.