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Finding the Fourth Proportional to 357.28, 535.28 and 186.40

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Solution

The fourth proportional to 357.28, 535.28 and 186.40 is: 279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.28 : 535.28 = 186.40 : x
  2. Step 2: Convert to fraction form
    357.28/535.28 = 186.40/x
  3. Step 3: Cross multiply
    357.28x = 535.28 × 186.40
  4. Step 4: Simplify right side
    357.28x = 99,776.19
  5. Step 5: Solve for x
    x = 99,776.19/357.28
  6. Step 6: Final answer
    x = 279.27

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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.