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Finding the Fourth Proportional to 403.12, 555.97 and 263.17

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Solution

The fourth proportional to 403.12, 555.97 and 263.17 is: 362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.12 : 555.97 = 263.17 : x
  2. Step 2: Convert to fraction form
    403.12/555.97 = 263.17/x
  3. Step 3: Cross multiply
    403.12x = 555.97 × 263.17
  4. Step 4: Simplify right side
    403.12x = 146,314.62
  5. Step 5: Solve for x
    x = 146,314.62/403.12
  6. Step 6: Final answer
    x = 362.96

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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.