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Finding the Fourth Proportional to 145.35, 200.88 and 115.83

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Solution

The fourth proportional to 145.35, 200.88 and 115.83 is: 160.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.35 : 200.88 = 115.83 : x
  2. Step 2: Convert to fraction form
    145.35/200.88 = 115.83/x
  3. Step 3: Cross multiply
    145.35x = 200.88 × 115.83
  4. Step 4: Simplify right side
    145.35x = 23,267.93
  5. Step 5: Solve for x
    x = 23,267.93/145.35
  6. Step 6: Final answer
    x = 160.08

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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.