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Finding the Fourth Proportional to 305.99, 458.42 and 256.94

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Solution

The fourth proportional to 305.99, 458.42 and 256.94 is: 384.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.99 : 458.42 = 256.94 : x
  2. Step 2: Convert to fraction form
    305.99/458.42 = 256.94/x
  3. Step 3: Cross multiply
    305.99x = 458.42 × 256.94
  4. Step 4: Simplify right side
    305.99x = 117,782.86
  5. Step 5: Solve for x
    x = 117,782.86/305.99
  6. Step 6: Final answer
    x = 384.93

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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.