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Finding the Fourth Proportional to 402.30, 602.64 and 185.40

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Solution

The fourth proportional to 402.30, 602.64 and 185.40 is: 277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.30 : 602.64 = 185.40 : x
  2. Step 2: Convert to fraction form
    402.30/602.64 = 185.40/x
  3. Step 3: Cross multiply
    402.30x = 602.64 × 185.40
  4. Step 4: Simplify right side
    402.30x = 111,729.46
  5. Step 5: Solve for x
    x = 111,729.46/402.30
  6. Step 6: Final answer
    x = 277.73

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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.