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Finding the Fourth Proportional to 346.95, 475.56 and 334.65

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Solution

The fourth proportional to 346.95, 475.56 and 334.65 is: 458.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.95 : 475.56 = 334.65 : x
  2. Step 2: Convert to fraction form
    346.95/475.56 = 334.65/x
  3. Step 3: Cross multiply
    346.95x = 475.56 × 334.65
  4. Step 4: Simplify right side
    346.95x = 159,146.15
  5. Step 5: Solve for x
    x = 159,146.15/346.95
  6. Step 6: Final answer
    x = 458.70

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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.