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Finding the Fourth Proportional to 314.75, 432.67 and 277.49

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Solution

The fourth proportional to 314.75, 432.67 and 277.49 is: 381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.75 : 432.67 = 277.49 : x
  2. Step 2: Convert to fraction form
    314.75/432.67 = 277.49/x
  3. Step 3: Cross multiply
    314.75x = 432.67 × 277.49
  4. Step 4: Simplify right side
    314.75x = 120,061.60
  5. Step 5: Solve for x
    x = 120,061.60/314.75
  6. Step 6: Final answer
    x = 381.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.