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Finding the Fourth Proportional to 202.34, 302.04 and 187.31

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Solution

The fourth proportional to 202.34, 302.04 and 187.31 is: 279.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.34 : 302.04 = 187.31 : x
  2. Step 2: Convert to fraction form
    202.34/302.04 = 187.31/x
  3. Step 3: Cross multiply
    202.34x = 302.04 × 187.31
  4. Step 4: Simplify right side
    202.34x = 56,573.60
  5. Step 5: Solve for x
    x = 56,573.60/202.34
  6. Step 6: Final answer
    x = 279.60

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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.