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Finding the Fourth Proportional to 347.64, 520.11 and 239.10

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Solution

The fourth proportional to 347.64, 520.11 and 239.10 is: 357.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.64 : 520.11 = 239.10 : x
  2. Step 2: Convert to fraction form
    347.64/520.11 = 239.10/x
  3. Step 3: Cross multiply
    347.64x = 520.11 × 239.10
  4. Step 4: Simplify right side
    347.64x = 124,358.30
  5. Step 5: Solve for x
    x = 124,358.30/347.64
  6. Step 6: Final answer
    x = 357.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.