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Finding the Fourth Proportional to 403.86, 557.64 and 256.71

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Solution

The fourth proportional to 403.86, 557.64 and 256.71 is: 354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.86 : 557.64 = 256.71 : x
  2. Step 2: Convert to fraction form
    403.86/557.64 = 256.71/x
  3. Step 3: Cross multiply
    403.86x = 557.64 × 256.71
  4. Step 4: Simplify right side
    403.86x = 143,151.76
  5. Step 5: Solve for x
    x = 143,151.76/403.86
  6. Step 6: Final answer
    x = 354.46

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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.