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Finding the Fourth Proportional to 355.86, 534.04 and 305.10

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Solution

The fourth proportional to 355.86, 534.04 and 305.10 is: 457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.86 : 534.04 = 305.10 : x
  2. Step 2: Convert to fraction form
    355.86/534.04 = 305.10/x
  3. Step 3: Cross multiply
    355.86x = 534.04 × 305.10
  4. Step 4: Simplify right side
    355.86x = 162,935.60
  5. Step 5: Solve for x
    x = 162,935.60/355.86
  6. Step 6: Final answer
    x = 457.86

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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.