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Finding the Fourth Proportional to 341.58, 472.61 and 298.00

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Solution

The fourth proportional to 341.58, 472.61 and 298.00 is: 412.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.58 : 472.61 = 298.00 : x
  2. Step 2: Convert to fraction form
    341.58/472.61 = 298.00/x
  3. Step 3: Cross multiply
    341.58x = 472.61 × 298.00
  4. Step 4: Simplify right side
    341.58x = 140,833.93
  5. Step 5: Solve for x
    x = 140,833.93/341.58
  6. Step 6: Final answer
    x = 412.30

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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.