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Finding the Fourth Proportional to 355.84, 536.80 and 355.12

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Solution

The fourth proportional to 355.84, 536.80 and 355.12 is: 535.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.84 : 536.80 = 355.12 : x
  2. Step 2: Convert to fraction form
    355.84/536.80 = 355.12/x
  3. Step 3: Cross multiply
    355.84x = 536.80 × 355.12
  4. Step 4: Simplify right side
    355.84x = 190,628.42
  5. Step 5: Solve for x
    x = 190,628.42/355.84
  6. Step 6: Final answer
    x = 535.71

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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.