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Finding the Fourth Proportional to 202.32, 302.88 and 186.72

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Solution

The fourth proportional to 202.32, 302.88 and 186.72 is: 279.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.32 : 302.88 = 186.72 : x
  2. Step 2: Convert to fraction form
    202.32/302.88 = 186.72/x
  3. Step 3: Cross multiply
    202.32x = 302.88 × 186.72
  4. Step 4: Simplify right side
    202.32x = 56,553.75
  5. Step 5: Solve for x
    x = 56,553.75/202.32
  6. Step 6: Final answer
    x = 279.53

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