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Finding the Fourth Proportional to 202.16, 278.88 and 187.52

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Solution

The fourth proportional to 202.16, 278.88 and 187.52 is: 258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.16 : 278.88 = 187.52 : x
  2. Step 2: Convert to fraction form
    202.16/278.88 = 187.52/x
  3. Step 3: Cross multiply
    202.16x = 278.88 × 187.52
  4. Step 4: Simplify right side
    202.16x = 52,295.58
  5. Step 5: Solve for x
    x = 52,295.58/202.16
  6. Step 6: Final answer
    x = 258.68

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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.