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Finding the Fourth Proportional to 145.88, 200.89 and 102.14

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Solution

The fourth proportional to 145.88, 200.89 and 102.14 is: 140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.88 : 200.89 = 102.14 : x
  2. Step 2: Convert to fraction form
    145.88/200.89 = 102.14/x
  3. Step 3: Cross multiply
    145.88x = 200.89 × 102.14
  4. Step 4: Simplify right side
    145.88x = 20,518.90
  5. Step 5: Solve for x
    x = 20,518.90/145.88
  6. Step 6: Final answer
    x = 140.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.