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Finding the Fourth Proportional to 178.30, 266.64 and 137.16

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Solution

The fourth proportional to 178.30, 266.64 and 137.16 is: 205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.30 : 266.64 = 137.16 : x
  2. Step 2: Convert to fraction form
    178.30/266.64 = 137.16/x
  3. Step 3: Cross multiply
    178.30x = 266.64 × 137.16
  4. Step 4: Simplify right side
    178.30x = 36,572.34
  5. Step 5: Solve for x
    x = 36,572.34/178.30
  6. Step 6: Final answer
    x = 205.12

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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.