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Finding the Fourth Proportional to 145.76, 217.78 and 140.72

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Solution

The fourth proportional to 145.76, 217.78 and 140.72 is: 210.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.76 : 217.78 = 140.72 : x
  2. Step 2: Convert to fraction form
    145.76/217.78 = 140.72/x
  3. Step 3: Cross multiply
    145.76x = 217.78 × 140.72
  4. Step 4: Simplify right side
    145.76x = 30,646.00
  5. Step 5: Solve for x
    x = 30,646.00/145.76
  6. Step 6: Final answer
    x = 210.25

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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.