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Finding the Fourth Proportional to 346.92, 521.21 and 202.74

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Solution

The fourth proportional to 346.92, 521.21 and 202.74 is: 304.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.92 : 521.21 = 202.74 : x
  2. Step 2: Convert to fraction form
    346.92/521.21 = 202.74/x
  3. Step 3: Cross multiply
    346.92x = 521.21 × 202.74
  4. Step 4: Simplify right side
    346.92x = 105,670.12
  5. Step 5: Solve for x
    x = 105,670.12/346.92
  6. Step 6: Final answer
    x = 304.60

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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.