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Finding the Fourth Proportional to 349.32, 521.50 and 294.64

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Solution

The fourth proportional to 349.32, 521.50 and 294.64 is: 439.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.32 : 521.50 = 294.64 : x
  2. Step 2: Convert to fraction form
    349.32/521.50 = 294.64/x
  3. Step 3: Cross multiply
    349.32x = 521.50 × 294.64
  4. Step 4: Simplify right side
    349.32x = 153,653.29
  5. Step 5: Solve for x
    x = 153,653.29/349.32
  6. Step 6: Final answer
    x = 439.86

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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.