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Finding the Fourth Proportional to 304.90, 457.86 and 256.78

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Solution

The fourth proportional to 304.90, 457.86 and 256.78 is: 385.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.90 : 457.86 = 256.78 : x
  2. Step 2: Convert to fraction form
    304.90/457.86 = 256.78/x
  3. Step 3: Cross multiply
    304.90x = 457.86 × 256.78
  4. Step 4: Simplify right side
    304.90x = 117,569.29
  5. Step 5: Solve for x
    x = 117,569.29/304.90
  6. Step 6: Final answer
    x = 385.60

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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.