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Finding the Fourth Proportional to 352.52, 524.62 and 340.84

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Solution

The fourth proportional to 352.52, 524.62 and 340.84 is: 507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.52 : 524.62 = 340.84 : x
  2. Step 2: Convert to fraction form
    352.52/524.62 = 340.84/x
  3. Step 3: Cross multiply
    352.52x = 524.62 × 340.84
  4. Step 4: Simplify right side
    352.52x = 178,811.48
  5. Step 5: Solve for x
    x = 178,811.48/352.52
  6. Step 6: Final answer
    x = 507.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.