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Finding the Fourth Proportional to 313.76, 432.46 and 267.25

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Solution

The fourth proportional to 313.76, 432.46 and 267.25 is: 368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.76 : 432.46 = 267.25 : x
  2. Step 2: Convert to fraction form
    313.76/432.46 = 267.25/x
  3. Step 3: Cross multiply
    313.76x = 432.46 × 267.25
  4. Step 4: Simplify right side
    313.76x = 115,574.94
  5. Step 5: Solve for x
    x = 115,574.94/313.76
  6. Step 6: Final answer
    x = 368.35

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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.