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Finding the Fourth Proportional to 200.83, 302.90 and 174.10

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Solution

The fourth proportional to 200.83, 302.90 and 174.10 is: 262.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.83 : 302.90 = 174.10 : x
  2. Step 2: Convert to fraction form
    200.83/302.90 = 174.10/x
  3. Step 3: Cross multiply
    200.83x = 302.90 × 174.10
  4. Step 4: Simplify right side
    200.83x = 52,734.89
  5. Step 5: Solve for x
    x = 52,734.89/200.83
  6. Step 6: Final answer
    x = 262.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.