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Finding the Fourth Proportional to 145.58, 217.37 and 144.12

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Solution

The fourth proportional to 145.58, 217.37 and 144.12 is: 215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.58 : 217.37 = 144.12 : x
  2. Step 2: Convert to fraction form
    145.58/217.37 = 144.12/x
  3. Step 3: Cross multiply
    145.58x = 217.37 × 144.12
  4. Step 4: Simplify right side
    145.58x = 31,327.73
  5. Step 5: Solve for x
    x = 31,327.73/145.58
  6. Step 6: Final answer
    x = 215.19

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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.