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Finding the Fourth Proportional to 355.86, 493.70 and 342.90

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Solution

The fourth proportional to 355.86, 493.70 and 342.90 is: 475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.86 : 493.70 = 342.90 : x
  2. Step 2: Convert to fraction form
    355.86/493.70 = 342.90/x
  3. Step 3: Cross multiply
    355.86x = 493.70 × 342.90
  4. Step 4: Simplify right side
    355.86x = 169,288.02
  5. Step 5: Solve for x
    x = 169,288.02/355.86
  6. Step 6: Final answer
    x = 475.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.