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Finding the Fourth Proportional to 305.74, 457.81 and 256.87

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Solution

The fourth proportional to 305.74, 457.81 and 256.87 is: 384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.74 : 457.81 = 256.87 : x
  2. Step 2: Convert to fraction form
    305.74/457.81 = 256.87/x
  3. Step 3: Cross multiply
    305.74x = 457.81 × 256.87
  4. Step 4: Simplify right side
    305.74x = 117,595.87
  5. Step 5: Solve for x
    x = 117,595.87/305.74
  6. Step 6: Final answer
    x = 384.63

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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.