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Finding the Fourth Proportional to 414.32, 571.64 and 256.91

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Solution

The fourth proportional to 414.32, 571.64 and 256.91 is: 354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.32 : 571.64 = 256.91 : x
  2. Step 2: Convert to fraction form
    414.32/571.64 = 256.91/x
  3. Step 3: Cross multiply
    414.32x = 571.64 × 256.91
  4. Step 4: Simplify right side
    414.32x = 146,855.89
  5. Step 5: Solve for x
    x = 146,855.89/414.32
  6. Step 6: Final answer
    x = 354.45

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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.