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Finding the Fourth Proportional to 313.38, 432.41 and 264.17

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Solution

The fourth proportional to 313.38, 432.41 and 264.17 is: 364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.38 : 432.41 = 264.17 : x
  2. Step 2: Convert to fraction form
    313.38/432.41 = 264.17/x
  3. Step 3: Cross multiply
    313.38x = 432.41 × 264.17
  4. Step 4: Simplify right side
    313.38x = 114,226.27
  5. Step 5: Solve for x
    x = 114,226.27/313.38
  6. Step 6: Final answer
    x = 364.50

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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.