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Finding the Fourth Proportional to 347.30, 518.53 and 312.74

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Solution

The fourth proportional to 347.30, 518.53 and 312.74 is: 466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.30 : 518.53 = 312.74 : x
  2. Step 2: Convert to fraction form
    347.30/518.53 = 312.74/x
  3. Step 3: Cross multiply
    347.30x = 518.53 × 312.74
  4. Step 4: Simplify right side
    347.30x = 162,165.85
  5. Step 5: Solve for x
    x = 162,165.85/347.30
  6. Step 6: Final answer
    x = 466.93

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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.