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Finding the Fourth Proportional to 345.12, 520.22 and 315.91

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Solution

The fourth proportional to 345.12, 520.22 and 315.91 is: 476.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.12 : 520.22 = 315.91 : x
  2. Step 2: Convert to fraction form
    345.12/520.22 = 315.91/x
  3. Step 3: Cross multiply
    345.12x = 520.22 × 315.91
  4. Step 4: Simplify right side
    345.12x = 164,342.70
  5. Step 5: Solve for x
    x = 164,342.70/345.12
  6. Step 6: Final answer
    x = 476.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.