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Finding the Fourth Proportional to 145.49, 216.45 and 144.20

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Solution

The fourth proportional to 145.49, 216.45 and 144.20 is: 214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.49 : 216.45 = 144.20 : x
  2. Step 2: Convert to fraction form
    145.49/216.45 = 144.20/x
  3. Step 3: Cross multiply
    145.49x = 216.45 × 144.20
  4. Step 4: Simplify right side
    145.49x = 31,212.63
  5. Step 5: Solve for x
    x = 31,212.63/145.49
  6. Step 6: Final answer
    x = 214.54

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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.