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Finding the Fourth Proportional to 357.78, 533.76 and 347.86

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Solution

The fourth proportional to 357.78, 533.76 and 347.86 is: 518.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.78 : 533.76 = 347.86 : x
  2. Step 2: Convert to fraction form
    357.78/533.76 = 347.86/x
  3. Step 3: Cross multiply
    357.78x = 533.76 × 347.86
  4. Step 4: Simplify right side
    357.78x = 185,673.12
  5. Step 5: Solve for x
    x = 185,673.12/357.78
  6. Step 6: Final answer
    x = 518.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.