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Finding the Fourth Proportional to 355.68, 537.12 and 355.68

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Solution

The fourth proportional to 355.68, 537.12 and 355.68 is: 537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.68 : 537.12 = 355.68 : x
  2. Step 2: Convert to fraction form
    355.68/537.12 = 355.68/x
  3. Step 3: Cross multiply
    355.68x = 537.12 × 355.68
  4. Step 4: Simplify right side
    355.68x = 191,042.84
  5. Step 5: Solve for x
    x = 191,042.84/355.68
  6. Step 6: Final answer
    x = 537.12

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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.