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Finding the Fourth Proportional to 346.80, 477.56 and 309.95

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Solution

The fourth proportional to 346.80, 477.56 and 309.95 is: 426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.80 : 477.56 = 309.95 : x
  2. Step 2: Convert to fraction form
    346.80/477.56 = 309.95/x
  3. Step 3: Cross multiply
    346.80x = 477.56 × 309.95
  4. Step 4: Simplify right side
    346.80x = 148,017.33
  5. Step 5: Solve for x
    x = 148,017.33/346.80
  6. Step 6: Final answer
    x = 426.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.