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Finding the Fourth Proportional to 305.74, 456.50 and 262.34

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Solution

The fourth proportional to 305.74, 456.50 and 262.34 is: 391.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.74 : 456.50 = 262.34 : x
  2. Step 2: Convert to fraction form
    305.74/456.50 = 262.34/x
  3. Step 3: Cross multiply
    305.74x = 456.50 × 262.34
  4. Step 4: Simplify right side
    305.74x = 119,758.21
  5. Step 5: Solve for x
    x = 119,758.21/305.74
  6. Step 6: Final answer
    x = 391.70

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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.