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Finding the Fourth Proportional to 356.06, 536.84 and 284.78

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Solution

The fourth proportional to 356.06, 536.84 and 284.78 is: 429.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.06 : 536.84 = 284.78 : x
  2. Step 2: Convert to fraction form
    356.06/536.84 = 284.78/x
  3. Step 3: Cross multiply
    356.06x = 536.84 × 284.78
  4. Step 4: Simplify right side
    356.06x = 152,883.88
  5. Step 5: Solve for x
    x = 152,883.88/356.06
  6. Step 6: Final answer
    x = 429.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.