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Finding the Fourth Proportional to 202.34, 302.03 and 187.29

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Solution

The fourth proportional to 202.34, 302.03 and 187.29 is: 279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.34 : 302.03 = 187.29 : x
  2. Step 2: Convert to fraction form
    202.34/302.03 = 187.29/x
  3. Step 3: Cross multiply
    202.34x = 302.03 × 187.29
  4. Step 4: Simplify right side
    202.34x = 56,566.96
  5. Step 5: Solve for x
    x = 56,566.96/202.34
  6. Step 6: Final answer
    x = 279.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.