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Finding the Fourth Proportional to 347.55, 518.37 and 293.06

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Solution

The fourth proportional to 347.55, 518.37 and 293.06 is: 437.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.55 : 518.37 = 293.06 : x
  2. Step 2: Convert to fraction form
    347.55/518.37 = 293.06/x
  3. Step 3: Cross multiply
    347.55x = 518.37 × 293.06
  4. Step 4: Simplify right side
    347.55x = 151,915.54
  5. Step 5: Solve for x
    x = 151,915.54/347.55
  6. Step 6: Final answer
    x = 437.11

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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.