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Finding the Fourth Proportional to 346.45, 477.88 and 230.05

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Solution

The fourth proportional to 346.45, 477.88 and 230.05 is: 317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.45 : 477.88 = 230.05 : x
  2. Step 2: Convert to fraction form
    346.45/477.88 = 230.05/x
  3. Step 3: Cross multiply
    346.45x = 477.88 × 230.05
  4. Step 4: Simplify right side
    346.45x = 109,936.29
  5. Step 5: Solve for x
    x = 109,936.29/346.45
  6. Step 6: Final answer
    x = 317.32

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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.