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Finding the Fourth Proportional to 346.40, 477.61 and 301.97

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Solution

The fourth proportional to 346.40, 477.61 and 301.97 is: 416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.40 : 477.61 = 301.97 : x
  2. Step 2: Convert to fraction form
    346.40/477.61 = 301.97/x
  3. Step 3: Cross multiply
    346.40x = 477.61 × 301.97
  4. Step 4: Simplify right side
    346.40x = 144,223.89
  5. Step 5: Solve for x
    x = 144,223.89/346.40
  6. Step 6: Final answer
    x = 416.35

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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.