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Finding the Fourth Proportional to 370.60, 509.27 and 353.68

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Solution

The fourth proportional to 370.60, 509.27 and 353.68 is: 486.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.60 : 509.27 = 353.68 : x
  2. Step 2: Convert to fraction form
    370.60/509.27 = 353.68/x
  3. Step 3: Cross multiply
    370.60x = 509.27 × 353.68
  4. Step 4: Simplify right side
    370.60x = 180,118.61
  5. Step 5: Solve for x
    x = 180,118.61/370.60
  6. Step 6: Final answer
    x = 486.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.