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Finding the Fourth Proportional to 145.49, 217.23 and 128.23

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Solution

The fourth proportional to 145.49, 217.23 and 128.23 is: 191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.49 : 217.23 = 128.23 : x
  2. Step 2: Convert to fraction form
    145.49/217.23 = 128.23/x
  3. Step 3: Cross multiply
    145.49x = 217.23 × 128.23
  4. Step 4: Simplify right side
    145.49x = 27,854.86
  5. Step 5: Solve for x
    x = 27,854.86/145.49
  6. Step 6: Final answer
    x = 191.46

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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.