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Finding the Fourth Proportional to 314.33, 432.86 and 276.80

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Solution

The fourth proportional to 314.33, 432.86 and 276.80 is: 381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.33 : 432.86 = 276.80 : x
  2. Step 2: Convert to fraction form
    314.33/432.86 = 276.80/x
  3. Step 3: Cross multiply
    314.33x = 432.86 × 276.80
  4. Step 4: Simplify right side
    314.33x = 119,812.10
  5. Step 5: Solve for x
    x = 119,812.10/314.33
  6. Step 6: Final answer
    x = 381.17

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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.