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Finding the Fourth Proportional to 346.80, 476.26 and 291.44

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Solution

The fourth proportional to 346.80, 476.26 and 291.44 is: 400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.80 : 476.26 = 291.44 : x
  2. Step 2: Convert to fraction form
    346.80/476.26 = 291.44/x
  3. Step 3: Cross multiply
    346.80x = 476.26 × 291.44
  4. Step 4: Simplify right side
    346.80x = 138,801.21
  5. Step 5: Solve for x
    x = 138,801.21/346.80
  6. Step 6: Final answer
    x = 400.23

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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.