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Finding the Fourth Proportional to 304.76, 458.93 and 256.43

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Solution

The fourth proportional to 304.76, 458.93 and 256.43 is: 386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.76 : 458.93 = 256.43 : x
  2. Step 2: Convert to fraction form
    304.76/458.93 = 256.43/x
  3. Step 3: Cross multiply
    304.76x = 458.93 × 256.43
  4. Step 4: Simplify right side
    304.76x = 117,685.21
  5. Step 5: Solve for x
    x = 117,685.21/304.76
  6. Step 6: Final answer
    x = 386.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.