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Finding the Fourth Proportional to 145.61, 200.88 and 83.42

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Solution

The fourth proportional to 145.61, 200.88 and 83.42 is: 115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.61 : 200.88 = 83.42 : x
  2. Step 2: Convert to fraction form
    145.61/200.88 = 83.42/x
  3. Step 3: Cross multiply
    145.61x = 200.88 × 83.42
  4. Step 4: Simplify right side
    145.61x = 16,758.29
  5. Step 5: Solve for x
    x = 16,758.29/145.61
  6. Step 6: Final answer
    x = 115.09

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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.