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Finding the Fourth Proportional to 145.18, 216.07 and 144.73

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Solution

The fourth proportional to 145.18, 216.07 and 144.73 is: 215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.18 : 216.07 = 144.73 : x
  2. Step 2: Convert to fraction form
    145.18/216.07 = 144.73/x
  3. Step 3: Cross multiply
    145.18x = 216.07 × 144.73
  4. Step 4: Simplify right side
    145.18x = 31,270.73
  5. Step 5: Solve for x
    x = 31,270.73/145.18
  6. Step 6: Final answer
    x = 215.40

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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.