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Finding the Fourth Proportional to 345.30, 519.84 and 315.06

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Solution

The fourth proportional to 345.30, 519.84 and 315.06 is: 474.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.30 : 519.84 = 315.06 : x
  2. Step 2: Convert to fraction form
    345.30/519.84 = 315.06/x
  3. Step 3: Cross multiply
    345.30x = 519.84 × 315.06
  4. Step 4: Simplify right side
    345.30x = 163,780.79
  5. Step 5: Solve for x
    x = 163,780.79/345.30
  6. Step 6: Final answer
    x = 474.31

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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.