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Finding the Fourth Proportional to 356.58, 535.68 and 342

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Solution

The fourth proportional to 356.58, 535.68 and 342 is: 513.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.58 : 535.68 = 342 : x
  2. Step 2: Convert to fraction form
    356.58/535.68 = 342/x
  3. Step 3: Cross multiply
    356.58x = 535.68 × 342
  4. Step 4: Simplify right side
    356.58x = 183,202.56
  5. Step 5: Solve for x
    x = 183,202.56/356.58
  6. Step 6: Final answer
    x = 513.78

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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.