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Finding the Fourth Proportional to 312.32, 466.19 and 289.80

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Solution

The fourth proportional to 312.32, 466.19 and 289.80 is: 432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.32 : 466.19 = 289.80 : x
  2. Step 2: Convert to fraction form
    312.32/466.19 = 289.80/x
  3. Step 3: Cross multiply
    312.32x = 466.19 × 289.80
  4. Step 4: Simplify right side
    312.32x = 135,100.41
  5. Step 5: Solve for x
    x = 135,100.41/312.32
  6. Step 6: Final answer
    x = 432.58

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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.