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Finding the Fourth Proportional to 345.75, 476.51 and 319.65

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Solution

The fourth proportional to 345.75, 476.51 and 319.65 is: 440.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.75 : 476.51 = 319.65 : x
  2. Step 2: Convert to fraction form
    345.75/476.51 = 319.65/x
  3. Step 3: Cross multiply
    345.75x = 476.51 × 319.65
  4. Step 4: Simplify right side
    345.75x = 152,314.82
  5. Step 5: Solve for x
    x = 152,314.82/345.75
  6. Step 6: Final answer
    x = 440.53

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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.