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Finding the Fourth Proportional to 305.29, 457.12 and 256.42

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Solution

The fourth proportional to 305.29, 457.12 and 256.42 is: 383.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.29 : 457.12 = 256.42 : x
  2. Step 2: Convert to fraction form
    305.29/457.12 = 256.42/x
  3. Step 3: Cross multiply
    305.29x = 457.12 × 256.42
  4. Step 4: Simplify right side
    305.29x = 117,214.71
  5. Step 5: Solve for x
    x = 117,214.71/305.29
  6. Step 6: Final answer
    x = 383.95

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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.