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Finding the Fourth Proportional to 145.79, 217.70 and 120.03

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Solution

The fourth proportional to 145.79, 217.70 and 120.03 is: 179.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.79 : 217.70 = 120.03 : x
  2. Step 2: Convert to fraction form
    145.79/217.70 = 120.03/x
  3. Step 3: Cross multiply
    145.79x = 217.70 × 120.03
  4. Step 4: Simplify right side
    145.79x = 26,129.93
  5. Step 5: Solve for x
    x = 26,129.93/145.79
  6. Step 6: Final answer
    x = 179.24

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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.