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Finding the Fourth Proportional to 347.02, 523.80 and 347.02

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Solution

The fourth proportional to 347.02, 523.80 and 347.02 is: 523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.02 : 523.80 = 347.02 : x
  2. Step 2: Convert to fraction form
    347.02/523.80 = 347.02/x
  3. Step 3: Cross multiply
    347.02x = 523.80 × 347.02
  4. Step 4: Simplify right side
    347.02x = 181,767.34
  5. Step 5: Solve for x
    x = 181,767.34/347.02
  6. Step 6: Final answer
    x = 523.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.