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Finding the Fourth Proportional to 312.02, 466.07 and 263.42

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Solution

The fourth proportional to 312.02, 466.07 and 263.42 is: 393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.02 : 466.07 = 263.42 : x
  2. Step 2: Convert to fraction form
    312.02/466.07 = 263.42/x
  3. Step 3: Cross multiply
    312.02x = 466.07 × 263.42
  4. Step 4: Simplify right side
    312.02x = 122,770.84
  5. Step 5: Solve for x
    x = 122,770.84/312.02
  6. Step 6: Final answer
    x = 393.47

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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.