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Finding the Fourth Proportional to 316.46, 472.33 and 290.81

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Solution

The fourth proportional to 316.46, 472.33 and 290.81 is: 434.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.46 : 472.33 = 290.81 : x
  2. Step 2: Convert to fraction form
    316.46/472.33 = 290.81/x
  3. Step 3: Cross multiply
    316.46x = 472.33 × 290.81
  4. Step 4: Simplify right side
    316.46x = 137,358.29
  5. Step 5: Solve for x
    x = 137,358.29/316.46
  6. Step 6: Final answer
    x = 434.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.