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Finding the Fourth Proportional to 349.73, 526.96 and 290.20

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Solution

The fourth proportional to 349.73, 526.96 and 290.20 is: 437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.73 : 526.96 = 290.20 : x
  2. Step 2: Convert to fraction form
    349.73/526.96 = 290.20/x
  3. Step 3: Cross multiply
    349.73x = 526.96 × 290.20
  4. Step 4: Simplify right side
    349.73x = 152,922.25
  5. Step 5: Solve for x
    x = 152,922.25/349.73
  6. Step 6: Final answer
    x = 437.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.