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Finding the Fourth Proportional to 314.76, 472.59 and 199.92

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Solution

The fourth proportional to 314.76, 472.59 and 199.92 is: 300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.76 : 472.59 = 199.92 : x
  2. Step 2: Convert to fraction form
    314.76/472.59 = 199.92/x
  3. Step 3: Cross multiply
    314.76x = 472.59 × 199.92
  4. Step 4: Simplify right side
    314.76x = 94,480.19
  5. Step 5: Solve for x
    x = 94,480.19/314.76
  6. Step 6: Final answer
    x = 300.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.