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Finding the Fourth Proportional to 145.33, 219.13 and 140.60

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Solution

The fourth proportional to 145.33, 219.13 and 140.60 is: 212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.33 : 219.13 = 140.60 : x
  2. Step 2: Convert to fraction form
    145.33/219.13 = 140.60/x
  3. Step 3: Cross multiply
    145.33x = 219.13 × 140.60
  4. Step 4: Simplify right side
    145.33x = 30,809.87
  5. Step 5: Solve for x
    x = 30,809.87/145.33
  6. Step 6: Final answer
    x = 212.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.