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Finding the Fourth Proportional to 313.84, 472.41 and 286.16

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Solution

The fourth proportional to 313.84, 472.41 and 286.16 is: 430.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.84 : 472.41 = 286.16 : x
  2. Step 2: Convert to fraction form
    313.84/472.41 = 286.16/x
  3. Step 3: Cross multiply
    313.84x = 472.41 × 286.16
  4. Step 4: Simplify right side
    313.84x = 135,182.48
  5. Step 5: Solve for x
    x = 135,182.48/313.84
  6. Step 6: Final answer
    x = 430.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.