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Finding the Fourth Proportional to 463.86, 640.14 and 256.86

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Solution

The fourth proportional to 463.86, 640.14 and 256.86 is: 354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.86 : 640.14 = 256.86 : x
  2. Step 2: Convert to fraction form
    463.86/640.14 = 256.86/x
  3. Step 3: Cross multiply
    463.86x = 640.14 × 256.86
  4. Step 4: Simplify right side
    463.86x = 164,426.36
  5. Step 5: Solve for x
    x = 164,426.36/463.86
  6. Step 6: Final answer
    x = 354.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.