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Finding the Fourth Proportional to 145.34, 216.61 and 140.73

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Solution

The fourth proportional to 145.34, 216.61 and 140.73 is: 209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.34 : 216.61 = 140.73 : x
  2. Step 2: Convert to fraction form
    145.34/216.61 = 140.73/x
  3. Step 3: Cross multiply
    145.34x = 216.61 × 140.73
  4. Step 4: Simplify right side
    145.34x = 30,483.17
  5. Step 5: Solve for x
    x = 30,483.17/145.34
  6. Step 6: Final answer
    x = 209.73

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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.