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Finding the Fourth Proportional to 319.12, 478.27 and 315.69

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Solution

The fourth proportional to 319.12, 478.27 and 315.69 is: 473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.12 : 478.27 = 315.69 : x
  2. Step 2: Convert to fraction form
    319.12/478.27 = 315.69/x
  3. Step 3: Cross multiply
    319.12x = 478.27 × 315.69
  4. Step 4: Simplify right side
    319.12x = 150,985.06
  5. Step 5: Solve for x
    x = 150,985.06/319.12
  6. Step 6: Final answer
    x = 473.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.