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Finding the Fourth Proportional to 145.98, 219.29 and 143.69

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Solution

The fourth proportional to 145.98, 219.29 and 143.69 is: 215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.98 : 219.29 = 143.69 : x
  2. Step 2: Convert to fraction form
    145.98/219.29 = 143.69/x
  3. Step 3: Cross multiply
    145.98x = 219.29 × 143.69
  4. Step 4: Simplify right side
    145.98x = 31,507.97
  5. Step 5: Solve for x
    x = 31,507.97/145.98
  6. Step 6: Final answer
    x = 215.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.