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Finding the Fourth Proportional to 145.38, 216.50 and 144.66

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Solution

The fourth proportional to 145.38, 216.50 and 144.66 is: 215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.38 : 216.50 = 144.66 : x
  2. Step 2: Convert to fraction form
    145.38/216.50 = 144.66/x
  3. Step 3: Cross multiply
    145.38x = 216.50 × 144.66
  4. Step 4: Simplify right side
    145.38x = 31,318.89
  5. Step 5: Solve for x
    x = 31,318.89/145.38
  6. Step 6: Final answer
    x = 215.43

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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.