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Finding the Fourth Proportional to 347.37, 518.02 and 296.34

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Solution

The fourth proportional to 347.37, 518.02 and 296.34 is: 441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.37 : 518.02 = 296.34 : x
  2. Step 2: Convert to fraction form
    347.37/518.02 = 296.34/x
  3. Step 3: Cross multiply
    347.37x = 518.02 × 296.34
  4. Step 4: Simplify right side
    347.37x = 153,510.05
  5. Step 5: Solve for x
    x = 153,510.05/347.37
  6. Step 6: Final answer
    x = 441.92

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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.