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Finding the Fourth Proportional to 145.42, 200.84 and 98.71

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Solution

The fourth proportional to 145.42, 200.84 and 98.71 is: 136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.42 : 200.84 = 98.71 : x
  2. Step 2: Convert to fraction form
    145.42/200.84 = 98.71/x
  3. Step 3: Cross multiply
    145.42x = 200.84 × 98.71
  4. Step 4: Simplify right side
    145.42x = 19,825.17
  5. Step 5: Solve for x
    x = 19,825.17/145.42
  6. Step 6: Final answer
    x = 136.33

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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.