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Finding the Fourth Proportional to 356.62, 535.06 and 185.50

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Solution

The fourth proportional to 356.62, 535.06 and 185.50 is: 278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.62 : 535.06 = 185.50 : x
  2. Step 2: Convert to fraction form
    356.62/535.06 = 185.50/x
  3. Step 3: Cross multiply
    356.62x = 535.06 × 185.50
  4. Step 4: Simplify right side
    356.62x = 99,253.63
  5. Step 5: Solve for x
    x = 99,253.63/356.62
  6. Step 6: Final answer
    x = 278.32

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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.