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Finding the Fourth Proportional to 200.88, 302.04 and 155.52

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Solution

The fourth proportional to 200.88, 302.04 and 155.52 is: 233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.88 : 302.04 = 155.52 : x
  2. Step 2: Convert to fraction form
    200.88/302.04 = 155.52/x
  3. Step 3: Cross multiply
    200.88x = 302.04 × 155.52
  4. Step 4: Simplify right side
    200.88x = 46,973.26
  5. Step 5: Solve for x
    x = 46,973.26/200.88
  6. Step 6: Final answer
    x = 233.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.