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Finding the Fourth Proportional to 369.60, 507.90 and 352.68

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Solution

The fourth proportional to 369.60, 507.90 and 352.68 is: 484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.60 : 507.90 = 352.68 : x
  2. Step 2: Convert to fraction form
    369.60/507.90 = 352.68/x
  3. Step 3: Cross multiply
    369.60x = 507.90 × 352.68
  4. Step 4: Simplify right side
    369.60x = 179,126.17
  5. Step 5: Solve for x
    x = 179,126.17/369.60
  6. Step 6: Final answer
    x = 484.65

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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.