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Finding the Fourth Proportional to 347.60, 521.01 and 174.05

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Solution

The fourth proportional to 347.60, 521.01 and 174.05 is: 260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.60 : 521.01 = 174.05 : x
  2. Step 2: Convert to fraction form
    347.60/521.01 = 174.05/x
  3. Step 3: Cross multiply
    347.60x = 521.01 × 174.05
  4. Step 4: Simplify right side
    347.60x = 90,681.79
  5. Step 5: Solve for x
    x = 90,681.79/347.60
  6. Step 6: Final answer
    x = 260.88

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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.