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Finding the Fourth Proportional to 345.16, 475.50 and 312.04

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Solution

The fourth proportional to 345.16, 475.50 and 312.04 is: 429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.16 : 475.50 = 312.04 : x
  2. Step 2: Convert to fraction form
    345.16/475.50 = 312.04/x
  3. Step 3: Cross multiply
    345.16x = 475.50 × 312.04
  4. Step 4: Simplify right side
    345.16x = 148,375.02
  5. Step 5: Solve for x
    x = 148,375.02/345.16
  6. Step 6: Final answer
    x = 429.87

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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.